116540156786400 has 576 divisors, whose sum is σ = 434769419851200. Its totient is φ = 30105357557760.

The previous prime is 116540156786393. The next prime is 116540156786453. The reversal of 116540156786400 is 4687651045611.

116540156786400 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 4 + 0 + 156 + 7 + 86 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 182698414 + ... + 183335186.

It is an arithmetic number, because the mean of its divisors is an integer number (754808020575).

Almost surely, 2^{116540156786400} is an apocalyptic number.

116540156786400 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 116540156786400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217384709925600).

116540156786400 is an abundant number, since it is smaller than the sum of its proper divisors (318229263064800).

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

116540156786400 is a wasteful number, since it uses less digits than its factorization.

116540156786400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637068 (or 637049 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 116540156786400 in words is "one hundred sixteen trillion, five hundred forty billion, one hundred fifty-six million, seven hundred eighty-six thousand, four hundred".