15117672960 has 480 divisors, whose sum is σ = 59721021360. Its totient is φ = 3501195264.

The previous prime is 15117672959. The next prime is 15117673091. The reversal of 15117672960 is 6927671151.

15117672960 is a `hidden beast` number, since 1 + 511 + 7 + 6 + 72 + 9 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1434288384 + 13683384576 = 37872^2 + 116976^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5090356 + ... + 5093324.

Almost surely, 2^15117672960 is an apocalyptic number.

15117672960 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 15117672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29860510680).

15117672960 is an abundant number, since it is smaller than the sum of its proper divisors (44603348400).

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

15117672960 is a wasteful number, since it uses less digits than its factorization.

15117672960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3028 (or 3009 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 15117672960 in words is "fifteen billion, one hundred seventeen million, six hundred seventy-two thousand, nine hundred sixty".