252396345600 has 1728 divisors, whose sum is σ = 1121208238080. Its totient is φ = 54344908800.

The previous prime is 252396345599. The next prime is 252396345601. The reversal of 252396345600 is 6543693252.

252396345600 is a `hidden beast` number, since 2 + 5 + 2 + 3 + 9 + 6 + 34 + 5 + 600 = 666.

252396345600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (252396345599) and next prime (252396345601).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (252396345601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1987372737 + ... + 1987372863.

It is an arithmetic number, because the mean of its divisors is an integer number (648847360).

Almost surely, 2^252396345600 is an apocalyptic number.

252396345600 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 252396345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560604119040).

252396345600 is an abundant number, since it is smaller than the sum of its proper divisors (868811892480).

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

252396345600 is a wasteful number, since it uses less digits than its factorization.

252396345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 252396345600 in words is "two hundred fifty-two billion, three hundred ninety-six million, three hundred forty-five thousand, six hundred".