10955179125 has 320 divisors, whose sum is σ = 24354570240. Its totient is φ = 4840560000.

The previous prime is 10955179069. The next prime is 10955179159. The reversal of 10955179125 is 52197155901.

It is a happy number.

10955179125 is a `hidden beast` number, since 1 + 0 + 9 + 5 + 517 + 9 + 125 = 666.

It is not a de Polignac number, because 10955179125 - 2⁶ = 10955179061 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 65599792 + ... + 65599958.

It is an arithmetic number, because the mean of its divisors is an integer number (76108032).

Almost surely, 2^10955179125 is an apocalyptic number.

10955179125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10955179125 is an abundant number, since it is smaller than the sum of its proper divisors (13399391115).

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

10955179125 is a wasteful number, since it uses less digits than its factorization.

10955179125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 141750, while the sum is 45.

The spelling of 10955179125 in words is "ten billion, nine hundred fifty-five million, one hundred seventy-nine thousand, one hundred twenty-five".