115515530625600 has 1008 divisors, whose sum is σ = 476193395957760. Its totient is φ = 26013406003200.

The previous prime is 115515530625589. The next prime is 115515530625659. The reversal of 115515530625600 is 6526035515511.

115515530625600 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 1 + 5 + 5 + 30 + 6 + 2 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2520884289 + ... + 2520930111.

Almost surely, 2^{115515530625600} is an apocalyptic number.

115515530625600 is a gapful number since it is divisible by the number (10) 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 115515530625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238096697978880).

115515530625600 is an abundant number, since it is smaller than the sum of its proper divisors (360677865332160).

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

115515530625600 is a wasteful number, since it uses less digits than its factorization.

115515530625600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46228 (or 46210 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 45.

The spelling of 115515530625600 in words is "one hundred fifteen trillion, five hundred fifteen billion, five hundred thirty million, six hundred twenty-five thousand, six hundred".