117172500480 has 1296 divisors, whose sum is σ = 506209911480. Its totient is φ = 25918341120.

The previous prime is 117172500409. The next prime is 117172500491. The reversal of 117172500480 is 84005271711.

117172500480 is a `hidden beast` number, since 1 + 1 + 7 + 1 + 72 + 500 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3779758065 + ... + 3779758095.

Almost surely, 2^117172500480 is an apocalyptic number.

117172500480 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 117172500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253104955740).

117172500480 is an abundant number, since it is smaller than the sum of its proper divisors (389037411000).

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

117172500480 is an frugal number, since it uses more digits than its factorization.

117172500480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The spelling of 117172500480 in words is "one hundred seventeen billion, one hundred seventy-two million, five hundred thousand, four hundred eighty".