117511430400 has 2160 divisors, whose sum is σ = 556443385344. Its totient is φ = 23808245760.

The previous prime is 117511430389. The next prime is 117511430441. The reversal of 117511430400 is 4034115711.

117511430400 is a `hidden beast` number, since 117 + 5 + 1 + 143 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2217196774 + ... + 2217196826.

Almost surely, 2^117511430400 is an apocalyptic number.

117511430400 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 117511430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278221692672).

117511430400 is an abundant number, since it is smaller than the sum of its proper divisors (438931954944).

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

117511430400 is a wasteful number, since it uses less digits than its factorization.

117511430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 117511430400 in words is "one hundred seventeen billion, five hundred eleven million, four hundred thirty thousand, four hundred".