117459977932800 has 468 divisors, whose sum is σ = 426479862275844. Its totient is φ = 30893565542400.

The previous prime is 117459977932769. The next prime is 117459977932903. The reversal of 117459977932800 is 8239779954711.

117459977932800 is a `hidden beast` number, since 1 + 1 + 7 + 4 + 599 + 7 + 7 + 9 + 3 + 28 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 14033719296 + 117445944213504 = 118464^2 + 10837248^2 .

It is a super-2 number, since 2×117459977932800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66403840 + ... + 68149760.

Almost surely, 2^{117459977932800} is an apocalyptic number.

117459977932800 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 117459977932800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213239931137922).

117459977932800 is an abundant number, since it is smaller than the sum of its proper divisors (309019884343044).

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

117459977932800 is a wasteful number, since it uses less digits than its factorization.

117459977932800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746034 (or 1746004 counting only the distinct ones).

The product of its (nonzero) digits is 240045120, while the sum is 72.

The spelling of 117459977932800 in words is "one hundred seventeen trillion, four hundred fifty-nine billion, nine hundred seventy-seven million, nine hundred thirty-two thousand, eight hundred".