116515902921600 has 1536 divisors, whose sum is σ = 494261725224960. Its totient is φ = 23464260403200.

The previous prime is 116515902921589. The next prime is 116515902921623. The reversal of 116515902921600 is 6129209515611.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 116515902921600.

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, 1976927332 + ... + 1976986268.

It is an arithmetic number, because the mean of its divisors is an integer number (321784977360).

Almost surely, 2^{116515902921600} is an apocalyptic number.

116515902921600 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 116515902921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247130862612480).

116515902921600 is an abundant number, since it is smaller than the sum of its proper divisors (377745822303360).

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

116515902921600 is a wasteful number, since it uses less digits than its factorization.

116515902921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59088 (or 59071 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 48.

The spelling of 116515902921600 in words is "one hundred sixteen trillion, five hundred fifteen billion, nine hundred two million, nine hundred twenty-one thousand, six hundred".