15122712960 has 320 divisors, whose sum is σ = 54454878720. Its totient is φ = 3999227904.

The previous prime is 15122712953. The next prime is 15122712989. The reversal of 15122712960 is 6921722151.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6582532 + ... + 6584828.

It is an arithmetic number, because the mean of its divisors is an integer number (170171496).

Almost surely, 2^15122712960 is an apocalyptic number.

15122712960 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 15122712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27227439360).

15122712960 is an abundant number, since it is smaller than the sum of its proper divisors (39332165760).

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

15122712960 is a wasteful number, since it uses less digits than its factorization.

15122712960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2455 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 15122712960 in words is "fifteen billion, one hundred twenty-two million, seven hundred twelve thousand, nine hundred sixty".