15117660720 has 320 divisors, whose sum is σ = 55309495680. Its totient is φ = 3782246400.

The previous prime is 15117660713. The next prime is 15117660751. The reversal of 15117660720 is 2706671151.

15117660720 is a `hidden beast` number, since 1 + 511 + 76 + 6 + 0 + 72 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19865140 + ... + 19865900.

It is an arithmetic number, because the mean of its divisors is an integer number (172842174).

Almost surely, 2^15117660720 is an apocalyptic number.

15117660720 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 15117660720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27654747840).

15117660720 is an abundant number, since it is smaller than the sum of its proper divisors (40191834960).

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

15117660720 is a wasteful number, since it uses less digits than its factorization.

15117660720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 15117660720 in words is "fifteen billion, one hundred seventeen million, six hundred sixty thousand, seven hundred twenty".