116259609002400 has 1296 divisors, whose sum is σ = 456578560226880. Its totient is φ = 27776922624000.

The previous prime is 116259609002371. The next prime is 116259609002447. The reversal of 116259609002400 is 4200906952611.

116259609002400 is a `hidden beast` number, since 1 + 16 + 2 + 5 + 9 + 609 + 0 + 0 + 24 + 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 215 ways as a sum of consecutive naturals, for example, 5320551475 + ... + 5320573325.

It is an arithmetic number, because the mean of its divisors is an integer number (352298271780).

Almost surely, 2^{116259609002400} is an apocalyptic number.

116259609002400 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 116259609002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228289280113440).

116259609002400 is an abundant number, since it is smaller than the sum of its proper divisors (340318951224480).

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

116259609002400 is a wasteful number, since it uses less digits than its factorization.

116259609002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22027 (or 21992 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 116259609002400 in words is "one hundred sixteen trillion, two hundred fifty-nine billion, six hundred nine million, two thousand, four hundred".