252445620600 has 240 divisors, whose sum is σ = 907016556600. Its totient is φ = 64997372160.

The previous prime is 252445620551. The next prime is 252445620611. The reversal of 252445620600 is 6026544252.

252445620600 is a `hidden beast` number, since 2 + 5 + 2 + 4 + 45 + 6 + 2 + 0 + 600 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 201127 + ... + 738473.

Almost surely, 2^252445620600 is an apocalyptic number.

252445620600 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 252445620600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453508278300).

252445620600 is an abundant number, since it is smaller than the sum of its proper divisors (654570936000).

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

252445620600 is a wasteful number, since it uses less digits than its factorization.

252445620600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537404 (or 537386 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 252445620600 in words is "two hundred fifty-two billion, four hundred forty-five million, six hundred twenty thousand, six hundred".