252655356800 has 864 divisors, whose sum is σ = 818500268880. Its totient is φ = 75423744000.

The previous prime is 252655356791. The next prime is 252655356817. The reversal of 252655356800 is 8653556252.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2604694352 + ... + 2604694448.

Almost surely, 2^252655356800 is an apocalyptic number.

252655356800 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 252655356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409250134440).

252655356800 is an abundant number, since it is smaller than the sum of its proper divisors (565844912080).

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

252655356800 is a wasteful number, since it uses less digits than its factorization.

252655356800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 47.

The spelling of 252655356800 in words is "two hundred fifty-two billion, six hundred fifty-five million, three hundred fifty-six thousand, eight hundred".