117279576000 has 1344 divisors, whose sum is σ = 472155780096. Its totient is φ = 28740096000.

The previous prime is 117279575993. The next prime is 117279576053. The reversal of 117279576000 is 675972711.

117279576000 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 79 + 576 + 0 + 0 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 1922615970 + ... + 1922616030.

It is an arithmetic number, because the mean of its divisors is an integer number (351306384).

Almost surely, 2^117279576000 is an apocalyptic number.

117279576000 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 117279576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236077890048).

117279576000 is an abundant number, since it is smaller than the sum of its proper divisors (354876204096).

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

117279576000 is an equidigital number, since it uses as much as digits as its factorization.

117279576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 45.

The spelling of 117279576000 in words is "one hundred seventeen billion, two hundred seventy-nine million, five hundred seventy-six thousand".