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8061085992960 = 2113457211131973
BaseRepresentation
bin111010101001101111000…
…1010101100100000000000
31001112122001221110100220000
41311103132022230200000
52024033101003233320
625051113424520000
71461252140251200
oct165233612544000
931478057410800
108061085992960
112628761988940
12aa2361480000
13466207339620
141dc231466400
15dea49bd3c90
hex754de2ac800

8061085992960 has 5760 divisors, whose sum is σ = 42134357865600. Its totient is φ = 1444738498560.

The previous prime is 8061085992931. The next prime is 8061085992989. The reversal of 8061085992960 is 692995801608.

8061085992960 is a `hidden beast` number, since 8 + 0 + 6 + 10 + 8 + 599 + 29 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8061085992931) and next prime (8061085992989).

It is a tau number, because it is divible by the number of its divisors (5760).

It is a super-2 number, since 2×80610859929602 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 110425835484 + ... + 110425835556.

It is an arithmetic number, because the mean of its divisors is an integer number (7314992685).

Almost surely, 28061085992960 is an apocalyptic number.

8061085992960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8061085992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21067178932800).

8061085992960 is an abundant number, since it is smaller than the sum of its proper divisors (34073271872640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8061085992960 is a wasteful number, since it uses less digits than its factorization.

8061085992960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 8061085992960 in words is "eight trillion, sixty-one billion, eighty-five million, nine hundred ninety-two thousand, nine hundred sixty".