956482778160 has 480 divisors, whose sum is σ = 4099894256640. Its totient is φ = 201806982144.

The previous prime is 956482778137. The next prime is 956482778171. The reversal of 956482778160 is 61877284659.

956482778160 is a `hidden beast` number, since 9 + 5 + 6 + 482 + 77 + 81 + 6 + 0 = 666.

956482778160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 1498701 + ... + 2039379.

It is an arithmetic number, because the mean of its divisors is an integer number (8541446368).

Almost surely, 2^956482778160 is an apocalyptic number.

956482778160 is a gapful number since it is divisible by the number (90) 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 956482778160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049947128320).

956482778160 is an abundant number, since it is smaller than the sum of its proper divisors (3143411478480).

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

956482778160 is a wasteful number, since it uses less digits than its factorization.

956482778160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540727 (or 540709 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 956482778160 in words is "nine hundred fifty-six billion, four hundred eighty-two million, seven hundred seventy-eight thousand, one hundred sixty".