115816521600 has 1536 divisors, whose sum is σ = 493676736000. Its totient is φ = 26605117440.

The previous prime is 115816521599. The next prime is 115816521659. The reversal of 115816521600 is 6125618511.

115816521600 is a `hidden beast` number, since 1 + 1 + 581 + 65 + 2 + 16 + 0 + 0 = 666.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1728604767 + ... + 1728604833.

It is an arithmetic number, because the mean of its divisors is an integer number (321404125).

Almost surely, 2^115816521600 is an apocalyptic number.

115816521600 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 115816521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246838368000).

115816521600 is an abundant number, since it is smaller than the sum of its proper divisors (377860214400).

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

115816521600 is an equidigital number, since it uses as much as digits as its factorization.

115816521600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 115816521600 in words is "one hundred fifteen billion, eight hundred sixteen million, five hundred twenty-one thousand, six hundred".