252304721416800 has 432 divisors, whose sum is σ = 958521204622800. Its totient is φ = 62080236933120.

The previous prime is 252304721416799. The next prime is 252304721416837. The reversal of 252304721416800 is 8614127403252.

252304721416800 is a `hidden beast` number, since 2 + 5 + 2 + 3 + 0 + 472 + 14 + 168 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 227550151 + ... + 228656249.

It is an arithmetic number, because the mean of its divisors is an integer number (2218799084775).

Almost surely, 2^{252304721416800} is an apocalyptic number.

252304721416800 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 252304721416800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479260602311400).

252304721416800 is an abundant number, since it is smaller than the sum of its proper divisors (706216483206000).

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

252304721416800 is a wasteful number, since it uses less digits than its factorization.

252304721416800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108575 (or 1108559 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 252304721416800 in words is "two hundred fifty-two trillion, three hundred four billion, seven hundred twenty-one million, four hundred sixteen thousand, eight hundred".