956259997056 has 480 divisors, whose sum is σ = 3565110613680. Its totient is φ = 252198696960.

The previous prime is 956259997039. The next prime is 956259997067. The reversal of 956259997056 is 650799952659.

956259997056 is a `hidden beast` number, since 9 + 562 + 5 + 9 + 9 + 9 + 7 + 0 + 56 = 666.

It is a super-2 number, since 2×956259997056² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6532021 + ... + 6676811.

Almost surely, 2^956259997056 is an apocalyptic number.

956259997056 is a gapful number since it is divisible by the number (96) 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 956259997056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782555306840).

956259997056 is an abundant number, since it is smaller than the sum of its proper divisors (2608850616624).

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

956259997056 is a wasteful number, since it uses less digits than its factorization.

956259997056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144844 (or 144816 counting only the distinct ones).

The product of its (nonzero) digits is 413343000, while the sum is 72.

The spelling of 956259997056 in words is "nine hundred fifty-six billion, two hundred fifty-nine million, nine hundred ninety-seven thousand, fifty-six".