956505538560 has 960 divisors, whose sum is σ = 3809712662784. Its totient is φ = 201326592000.

The previous prime is 956505538553. The next prime is 956505538561. The reversal of 956505538560 is 65835505659.

It is a tau number, because it is divible by the number of its divisors (960).

It is a self number, because there is not a number n which added to its sum of digits gives 956505538560.

It is not an unprimeable number, because it can be changed into a prime (956505538561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 597441760 + ... + 597443360.

Almost surely, 2^956505538560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 956505538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904856331392).

956505538560 is an abundant number, since it is smaller than the sum of its proper divisors (2853207124224).

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

956505538560 is a wasteful number, since it uses less digits than its factorization.

956505538560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 24300000, while the sum is 57.

The spelling of 956505538560 in words is "nine hundred fifty-six billion, five hundred five million, five hundred thirty-eight thousand, five hundred sixty".