252090921600 has 1152 divisors, whose sum is σ = 1103548118400. Its totient is φ = 55599022080.

The previous prime is 252090921559. The next prime is 252090921637. The reversal of 252090921600 is 6129090252.

It is a happy number.

252090921600 is a `hidden beast` number, since 2 + 5 + 20 + 9 + 0 + 9 + 21 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

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, 157852002 + ... + 157853598.

It is an arithmetic number, because the mean of its divisors is an integer number (957941075).

Almost surely, 2^252090921600 is an apocalyptic number.

252090921600 is a gapful number since it is divisible by the number (20) 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 252090921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551774059200).

252090921600 is an abundant number, since it is smaller than the sum of its proper divisors (851457196800).

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

252090921600 is a wasteful number, since it uses less digits than its factorization.

252090921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 252090921600 in words is "two hundred fifty-two billion, ninety million, nine hundred twenty-one thousand, six hundred".