15082032960 has 168 divisors, whose sum is σ = 51921268776. Its totient is φ = 4018360320.

The previous prime is 15082032937. The next prime is 15082032961. The reversal of 15082032960 is 6923028051.

It can be written as a sum of positive squares in 4 ways, for example, as 4217723136 + 10864309824 = 64944^2 + 104232^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15082032961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6441390 + ... + 6443730.

Almost surely, 2^15082032960 is an apocalyptic number.

15082032960 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 15082032960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25960634388).

15082032960 is an abundant number, since it is smaller than the sum of its proper divisors (36839235816).

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

15082032960 is a wasteful number, since it uses less digits than its factorization.

15082032960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4601 (or 4588 counting only the distinct ones).

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

The spelling of 15082032960 in words is "fifteen billion, eighty-two million, thirty-two thousand, nine hundred sixty".