117719572320 has 384 divisors, whose sum is σ = 475552788480. Its totient is φ = 26640230400.

The previous prime is 117719572319. The next prime is 117719572361. The reversal of 117719572320 is 23275917711.

117719572320 is a `hidden beast` number, since 1 + 1 + 7 + 71 + 9 + 572 + 3 + 2 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3034969 + ... + 3073511.

It is an arithmetic number, because the mean of its divisors is an integer number (1238418720).

Almost surely, 2^117719572320 is an apocalyptic number.

117719572320 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 117719572320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237776394240).

117719572320 is an abundant number, since it is smaller than the sum of its proper divisors (357833216160).

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

117719572320 is a wasteful number, since it uses less digits than its factorization.

117719572320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38675 (or 38661 counting only the distinct ones).

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

The spelling of 117719572320 in words is "one hundred seventeen billion, seven hundred nineteen million, five hundred seventy-two thousand, three hundred twenty".