252809385600 has 384 divisors, whose sum is σ = 844417918080. Its totient is φ = 66473164800.

The previous prime is 252809385599. The next prime is 252809385623. The reversal of 252809385600 is 6583908252.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 252809385600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261436317 + ... + 261437283.

It is an arithmetic number, because the mean of its divisors is an integer number (2199004995).

Almost surely, 2^252809385600 is an apocalyptic number.

252809385600 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 252809385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422208959040).

252809385600 is an abundant number, since it is smaller than the sum of its proper divisors (591608532480).

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

252809385600 is a wasteful number, since it uses less digits than its factorization.

252809385600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 252809385600 in words is "two hundred fifty-two billion, eight hundred nine million, three hundred eighty-five thousand, six hundred".