115426610521200 has 180 divisors, whose sum is σ = 436977165374568. Its totient is φ = 27982208601600.

The previous prime is 115426610521177. The next prime is 115426610521217. The reversal of 115426610521200 is 2125016624511.

115426610521200 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 26 + 610 + 5 + 2 + 12 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1457367099 + ... + 1457446298.

Almost surely, 2^{115426610521200} is an apocalyptic number.

115426610521200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115426610521200 is an abundant number, since it is smaller than the sum of its proper divisors (321550554853368).

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

115426610521200 is a wasteful number, since it uses less digits than its factorization.

115426610521200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914813432 (or 2914813418 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 115426610521200 in words is "one hundred fifteen trillion, four hundred twenty-six billion, six hundred ten million, five hundred twenty-one thousand, two hundred".