255536000 has 64 divisors (see below), whose sum is σ = 635366160. Its totient is φ = 102208000.

The previous prime is 255535991. The next prime is 255536033. The reversal of 255536000 is 635552.

255536000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8015 + ... + 23985.

Almost surely, 2^255536000 is an apocalyptic number.

255536000 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 255536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317683080).

255536000 is an abundant number, since it is smaller than the sum of its proper divisors (379830160).

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

255536000 is an equidigital number, since it uses as much as digits as its factorization.

255536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16000 (or 15978 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 26.

The square root of 255536000 is about 15985.4934237264. The cubic root of 255536000 is about 634.5765668611.

The spelling of 255536000 in words is "two hundred fifty-five million, five hundred thirty-six thousand".