117431596800 has 1944 divisors, whose sum is σ = 536387918976. Its totient is φ = 25291284480.

The previous prime is 117431596787. The next prime is 117431596853. The reversal of 117431596800 is 8695134711.

117431596800 is a `hidden beast` number, since 1 + 17 + 43 + 1 + 596 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

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 polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1752710367 + ... + 1752710433.

Almost surely, 2^117431596800 is an apocalyptic number.

117431596800 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 117431596800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268193959488).

117431596800 is an abundant number, since it is smaller than the sum of its proper divisors (418956322176).

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

117431596800 is an equidigital number, since it uses as much as digits as its factorization.

117431596800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 117431596800 in words is "one hundred seventeen billion, four hundred thirty-one million, five hundred ninety-six thousand, eight hundred".