252942547200 has 1296 divisors, whose sum is σ = 1026314311680. Its totient is φ = 54623600640.

The previous prime is 252942547199. The next prime is 252942547241. The reversal of 252942547200 is 2745249252.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1991673537 + ... + 1991673663.

Almost surely, 2^252942547200 is an apocalyptic number.

252942547200 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 252942547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513157155840).

252942547200 is an abundant number, since it is smaller than the sum of its proper divisors (773371764480).

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

252942547200 is a wasteful number, since it uses less digits than its factorization.

252942547200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 252942547200 in words is "two hundred fifty-two billion, nine hundred forty-two million, five hundred forty-seven thousand, two hundred".