115291756800 has 1296 divisors, whose sum is σ = 484156720320. Its totient is φ = 25878528000.

The previous prime is 115291756777. The next prime is 115291756847. The reversal of 115291756800 is 8657192511.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 734342322 + ... + 734342478.

Almost surely, 2^115291756800 is an apocalyptic number.

115291756800 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 115291756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242078360160).

115291756800 is an abundant number, since it is smaller than the sum of its proper divisors (368864963520).

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

115291756800 is a wasteful number, since it uses less digits than its factorization.

115291756800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 45.

The spelling of 115291756800 in words is "one hundred fifteen billion, two hundred ninety-one million, seven hundred fifty-six thousand, eight hundred".