15012938952 has 256 divisors, whose sum is σ = 48539347200. Its totient is φ = 4248944640.

The previous prime is 15012938929. The next prime is 15012938953. The reversal of 15012938952 is 25983921051.

15012938952 is a `hidden beast` number, since 1 + 501 + 2 + 93 + 8 + 9 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 15012938898 and 15012938907.

It is not an unprimeable number, because it can be changed into a prime (15012938953) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5532348 + ... + 5535060.

It is an arithmetic number, because the mean of its divisors is an integer number (189606825).

Almost surely, 2^15012938952 is an apocalyptic number.

15012938952 is a gapful number since it is divisible by the number (12) 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 15012938952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24269673600).

15012938952 is an abundant number, since it is smaller than the sum of its proper divisors (33526408248).

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

15012938952 is a wasteful number, since it uses less digits than its factorization.

15012938952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2893 (or 2883 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 15012938952 in words is "fifteen billion, twelve million, nine hundred thirty-eight thousand, nine hundred fifty-two".