255059132800 has 192 divisors, whose sum is σ = 675188816400. Its totient is φ = 94863687680.

The previous prime is 255059132789. The next prime is 255059132807. The reversal of 255059132800 is 8231950552.

It is a super-2 number, since 2×255059132800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255059132807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4486956 + ... + 4543444.

Almost surely, 2^255059132800 is an apocalyptic number.

255059132800 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 255059132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337594408200).

255059132800 is an abundant number, since it is smaller than the sum of its proper divisors (420129683600).

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

255059132800 is a wasteful number, since it uses less digits than its factorization.

255059132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56613 (or 56596 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 40.

The spelling of 255059132800 in words is "two hundred fifty-five billion, fifty-nine million, one hundred thirty-two thousand, eight hundred".