252055214400 has 168 divisors, whose sum is σ = 902128715424. Its totient is φ = 61104281600.

The previous prime is 252055214339. The next prime is 252055214407. The reversal of 252055214400 is 4412550252.

252055214400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×252055214400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252055214407) 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 23 ways as a sum of consecutive naturals, for example, 2334087 + ... + 2439686.

Almost surely, 2^252055214400 is an apocalyptic number.

252055214400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252055214400 is an abundant number, since it is smaller than the sum of its proper divisors (650073501024).

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

252055214400 is a wasteful number, since it uses less digits than its factorization.

252055214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4773809 (or 4773794 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

Adding to 252055214400 its reverse (4412550252), we get a palindrome (256467764652).

The spelling of 252055214400 in words is "two hundred fifty-two billion, fifty-five million, two hundred fourteen thousand, four hundred".