15252864000 has 704 divisors, whose sum is σ = 58123533312. Its totient is φ = 3514368000.

The previous prime is 15252863963. The next prime is 15252864019. The reversal of 15252864000 is 46825251.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97151922 + ... + 97152078.

Almost surely, 2^15252864000 is an apocalyptic number.

15252864000 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 15252864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29061766656).

15252864000 is an abundant number, since it is smaller than the sum of its proper divisors (42870669312).

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

15252864000 is a wasteful number, since it uses less digits than its factorization.

15252864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 15252864000 in words is "fifteen billion, two hundred fifty-two million, eight hundred sixty-four thousand".