252403845120 has 1152 divisors, whose sum is σ = 1079161574400. Its totient is φ = 55738368000.

The previous prime is 252403845103. The next prime is 252403845131. The reversal of 252403845120 is 21548304252.

252403845120 is a `hidden beast` number, since 2 + 52 + 403 + 84 + 5 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 419972820 + ... + 419973420.

It is an arithmetic number, because the mean of its divisors is an integer number (936772200).

Almost surely, 2^252403845120 is an apocalyptic number.

252403845120 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 252403845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539580787200).

252403845120 is an abundant number, since it is smaller than the sum of its proper divisors (826757729280).

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

252403845120 is a wasteful number, since it uses less digits than its factorization.

252403845120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 252403845120 in words is "two hundred fifty-two billion, four hundred three million, eight hundred forty-five thousand, one hundred twenty".