117395812800 has 252 divisors, whose sum is σ = 476860337616. Its totient is φ = 26833305600.

The previous prime is 117395812777. The next prime is 117395812811. The reversal of 117395812800 is 8218593711.

117395812800 is a `hidden beast` number, since 1 + 17 + 39 + 581 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 481521 + ... + 683120.

Almost surely, 2^117395812800 is an apocalyptic number.

117395812800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117395812800 is an abundant number, since it is smaller than the sum of its proper divisors (359464524816).

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

117395812800 is a wasteful number, since it uses less digits than its factorization.

117395812800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164676 (or 1164658 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 117395812800 in words is "one hundred seventeen billion, three hundred ninety-five million, eight hundred twelve thousand, eight hundred".