117986977382400 has 2376 divisors, whose sum is σ = 511824084205200. Its totient is φ = 26968451973120.

The previous prime is 117986977382399. The next prime is 117986977382413. The reversal of 117986977382400 is 4283779689711.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

117986977382400 is a `hidden beast` number, since 1 + 1 + 7 + 98 + 69 + 7 + 73 + 8 + 2 + 400 = 666.

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

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 107 ways as a sum of consecutive naturals, for example, 16855282483197 + ... + 16855282483203.

Almost surely, 2^{117986977382400} is an apocalyptic number.

117986977382400 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 117986977382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255912042102600).

117986977382400 is an abundant number, since it is smaller than the sum of its proper divisors (393837106822800).

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

117986977382400 is an frugal number, since it uses more digits than its factorization.

117986977382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 256048128, while the sum is 72.

The spelling of 117986977382400 in words is "one hundred seventeen trillion, nine hundred eighty-six billion, nine hundred seventy-seven million, three hundred eighty-two thousand, four hundred".