15020328960 has 960 divisors, whose sum is σ = 66594528000. Its totient is φ = 3153199104.

The previous prime is 15020328941. The next prime is 15020329001. The reversal of 15020328960 is 6982302051.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×15020328960² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 75478941 + ... + 75479139.

It is an arithmetic number, because the mean of its divisors is an integer number (69369300).

Almost surely, 2^15020328960 is an apocalyptic number.

15020328960 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 15020328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33297264000).

15020328960 is an abundant number, since it is smaller than the sum of its proper divisors (51574199040).

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

15020328960 is a wasteful number, since it uses less digits than its factorization.

15020328960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 15020328960 in words is "fifteen billion, twenty million, three hundred twenty-eight thousand, nine hundred sixty".