116915900400 has 720 divisors, whose sum is σ = 452212619040. Its totient is φ = 27786240000.

The previous prime is 116915900357. The next prime is 116915900401. The reversal of 116915900400 is 4009519611.

116915900400 is a `hidden beast` number, since 1 + 1 + 69 + 1 + 590 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116915900401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 434631466 + ... + 434631734.

It is an arithmetic number, because the mean of its divisors is an integer number (628073082).

Almost surely, 2^116915900400 is an apocalyptic number.

116915900400 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 116915900400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226106309520).

116915900400 is an abundant number, since it is smaller than the sum of its proper divisors (335296718640).

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

116915900400 is a wasteful number, since it uses less digits than its factorization.

116915900400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 116915900400 in words is "one hundred sixteen billion, nine hundred fifteen million, nine hundred thousand, four hundred".