15020957952 has 864 divisors, whose sum is σ = 60327106560. Its totient is φ = 3579863040.

The previous prime is 15020957933. The next prime is 15020958037. The reversal of 15020957952 is 25975902051.

15020957952 is a `hidden beast` number, since 1 + 5 + 0 + 20 + 9 + 579 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a junction number, because it is equal to n+sod(n) for n = 15020957898 and 15020957907.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89945773 + ... + 89945939.

It is an arithmetic number, because the mean of its divisors is an integer number (69823040).

Almost surely, 2^15020957952 is an apocalyptic number.

15020957952 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 15020957952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30163553280).

15020957952 is an abundant number, since it is smaller than the sum of its proper divisors (45306148608).

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

15020957952 is a wasteful number, since it uses less digits than its factorization.

15020957952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 45.

The spelling of 15020957952 in words is "fifteen billion, twenty million, nine hundred fifty-seven thousand, nine hundred fifty-two".