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1055607920640 = 211325713191659
BaseRepresentation
bin11110101110001110010…
…00101001100000000000
310201220201010112111000100
433113013020221200000
5114243341111430030
62124534541122400
7136156643164440
oct17270710514000
93656633474010
101055607920640
113777541737a9
12150700b59400
137870ab06cb0
143913d884120
151c6d35e7360
hexf5c7229800

1055607920640 has 1152 divisors, whose sum is σ = 4533271142400. Its totient is φ = 221219389440.

The previous prime is 1055607920611. The next prime is 1055607920669. The reversal of 1055607920640 is 460297065501.

1055607920640 is a `hidden beast` number, since 1 + 0 + 5 + 560 + 7 + 9 + 20 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1055607920611) and next prime (1055607920669).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×10556079206402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1601832631 + ... + 1601833289.

It is an arithmetic number, because the mean of its divisors is an integer number (3935131200).

Almost surely, 21055607920640 is an apocalyptic number.

1055607920640 is a gapful number since it is divisible by the number (10) 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 1055607920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2266635571200).

1055607920640 is an abundant number, since it is smaller than the sum of its proper divisors (3477663221760).

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

1055607920640 is a wasteful number, since it uses less digits than its factorization.

1055607920640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 1055607920640 in words is "one trillion, fifty-five billion, six hundred seven million, nine hundred twenty thousand, six hundred forty".