15109772688960 has 224 divisors, whose sum is σ = 48980592635520. Its totient is φ = 3945484173312.

The previous prime is 15109772688953. The next prime is 15109772689007. The reversal of 15109772688960 is 6988627790151.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8965554 + ... + 10516686.

It is an arithmetic number, because the mean of its divisors is an integer number (218663359980).

Almost surely, 2^{15109772688960} is an apocalyptic number.

15109772688960 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 15109772688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24490296317760).

15109772688960 is an abundant number, since it is smaller than the sum of its proper divisors (33870819946560).

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

15109772688960 is a wasteful number, since it uses less digits than its factorization.

15109772688960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551365 (or 1551355 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 69.

The spelling of 15109772688960 in words is "fifteen trillion, one hundred nine billion, seven hundred seventy-two million, six hundred eighty-eight thousand, nine hundred sixty".