9956255904 has 432 divisors, whose sum is σ = 35655355008. Its totient is φ = 2617380864.

The previous prime is 9956255851. The next prime is 9956255977. The reversal of 9956255904 is 4095526599.

9956255904 is a `hidden beast` number, since 9 + 9 + 5 + 625 + 5 + 9 + 0 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11275047 + ... + 11275929.

It is an arithmetic number, because the mean of its divisors is an integer number (82535544).

Almost surely, 2^9956255904 is an apocalyptic number.

9956255904 is a gapful number since it is divisible by the number (94) 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 9956255904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17827677504).

9956255904 is an abundant number, since it is smaller than the sum of its proper divisors (25699099104).

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

9956255904 is a wasteful number, since it uses less digits than its factorization.

9956255904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 4374000, while the sum is 54.

The square root of 9956255904 is about 99781.0398021588. The cubic root of 9956255904 is about 2151.2886382595.

The spelling of 9956255904 in words is "nine billion, nine hundred fifty-six million, two hundred fifty-five thousand, nine hundred four".