117584550720 has 1568 divisors, whose sum is σ = 537298513920. Its totient is φ = 23828152320.

The previous prime is 117584550689. The next prime is 117584550757. The reversal of 117584550720 is 27055485711.

117584550720 is a `hidden beast` number, since 1 + 1 + 75 + 8 + 4 + 550 + 7 + 20 = 666.

It is a super-2 number, since 2×117584550720² (a number of 23 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 615625825 + ... + 615626015.

Almost surely, 2^117584550720 is an apocalyptic number.

117584550720 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 117584550720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268649256960).

117584550720 is an abundant number, since it is smaller than the sum of its proper divisors (419713963200).

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

117584550720 is a wasteful number, since it uses less digits than its factorization.

117584550720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 45.

The spelling of 117584550720 in words is "one hundred seventeen billion, five hundred eighty-four million, five hundred fifty thousand, seven hundred twenty".