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80655216069600 = 253352832631859
BaseRepresentation
bin10010010101101100000001…
…100000001100101111100000
3101120120120012200111001002000
4102111230001200030233200
541032423340303211400
6443312254510524000
722663101304612164
oct2225540140145740
9346516180431060
1080655216069600
1123776759881007
129067630806600
1336009a60b0753
1415cba3a1d2ca4
1594d062033600
hex495b0180cbe0

80655216069600 has 864 divisors, whose sum is σ = 296072062675200. Its totient is φ = 21190551782400.

The previous prime is 80655216069569. The next prime is 80655216069707. The reversal of 80655216069600 is 696061255608.

80655216069600 is a `hidden beast` number, since 8 + 0 + 6 + 5 + 5 + 21 + 6 + 0 + 6 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 93894313971 + ... + 93894314829.

Almost surely, 280655216069600 is an apocalyptic number.

80655216069600 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 80655216069600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148036031337600).

80655216069600 is an abundant number, since it is smaller than the sum of its proper divisors (215416846605600).

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

80655216069600 is a wasteful number, since it uses less digits than its factorization.

80655216069600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 80655216069600 in words is "eighty trillion, six hundred fifty-five billion, two hundred sixteen million, sixty-nine thousand, six hundred".