9956151576 has 96 divisors (see below), whose sum is σ = 30868874400. Its totient is φ = 2839795200.

The previous prime is 9956151553. The next prime is 9956151581. The reversal of 9956151576 is 6751516599.

9956151576 is a `hidden beast` number, since 9 + 9 + 5 + 61 + 5 + 1 + 576 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286470 + ... + 319338.

It is an arithmetic number, because the mean of its divisors is an integer number (321550775).

Almost surely, 2^9956151576 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 9956151576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15434437200).

9956151576 is an abundant number, since it is smaller than the sum of its proper divisors (20912722824).

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

9956151576 is a wasteful number, since it uses less digits than its factorization.

9956151576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33489 (or 33482 counting only the distinct ones).

The product of its digits is 2551500, while the sum is 54.

The square root of 9956151576 is about 99780.5170160989. The cubic root of 9956151576 is about 2151.2811240418.

The spelling of 9956151576 in words is "nine billion, nine hundred fifty-six million, one hundred fifty-one thousand, five hundred seventy-six".