115957216051200 has 1824 divisors, whose sum is σ = 443368628305920. Its totient is φ = 29693155737600.

The previous prime is 115957216051177. The next prime is 115957216051309. The reversal of 115957216051200 is 2150612759511.

115957216051200 is a `hidden beast` number, since 1 + 1 + 5 + 9 + 5 + 7 + 21 + 605 + 12 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 607105843105 + ... + 607105843295.

Almost surely, 2^{115957216051200} is an apocalyptic number.

115957216051200 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 115957216051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221684314152960).

115957216051200 is an abundant number, since it is smaller than the sum of its proper divisors (327411412254720).

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

115957216051200 is an frugal number, since it uses more digits than its factorization.

115957216051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 45.

The spelling of 115957216051200 in words is "one hundred fifteen trillion, nine hundred fifty-seven billion, two hundred sixteen million, fifty-one thousand, two hundred".