252674899200 has 756 divisors, whose sum is σ = 968487818368. Its totient is φ = 65169100800.

The previous prime is 252674899189. The next prime is 252674899201. The reversal of 252674899200 is 2998476252.

252674899200 is a `hidden beast` number, since 2 + 526 + 7 + 4 + 8 + 99 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252674899201) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 144632727 + ... + 144634473.

Almost surely, 2^252674899200 is an apocalyptic number.

252674899200 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 252674899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484243909184).

252674899200 is an abundant number, since it is smaller than the sum of its proper divisors (715812919168).

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

252674899200 is an equidigital number, since it uses as much as digits as its factorization.

252674899200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 252674899200 in words is "two hundred fifty-two billion, six hundred seventy-four million, eight hundred ninety-nine thousand, two hundred".