252439205356800 has 6912 divisors, whose sum is σ = 1235820635750400. Its totient is φ = 48910417920000.

The previous prime is 252439205356799. The next prime is 252439205356837. The reversal of 252439205356800 is 8653502934252.

It is a happy number.

252439205356800 is a `hidden beast` number, since 2 + 5 + 2 + 4 + 3 + 9 + 20 + 53 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1987710278337 + ... + 1987710278463.

Almost surely, 2^{252439205356800} is an apocalyptic number.

252439205356800 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 252439205356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617910317875200).

252439205356800 is an abundant number, since it is smaller than the sum of its proper divisors (983381430393600).

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

252439205356800 is a wasteful number, since it uses less digits than its factorization.

252439205356800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 252439205356800 in words is "two hundred fifty-two trillion, four hundred thirty-nine billion, two hundred five million, three hundred fifty-six thousand, eight hundred".