15252652800 has 1296 divisors, whose sum is σ = 71961227520. Its totient is φ = 2985984000.

The previous prime is 15252652787. The next prime is 15252652817. The reversal of 15252652800 is 825625251.

It is a happy number.

15252652800 is a `hidden beast` number, since 1 + 5 + 2 + 526 + 52 + 80 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 84268710 + ... + 84268890.

Almost surely, 2^15252652800 is an apocalyptic number.

15252652800 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 15252652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35980613760).

15252652800 is an abundant number, since it is smaller than the sum of its proper divisors (56708574720).

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

15252652800 is a wasteful number, since it uses less digits than its factorization.

15252652800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 15252652800 in words is "fifteen billion, two hundred fifty-two million, six hundred fifty-two thousand, eight hundred".