255425788800 has 2880 divisors, whose sum is σ = 1260290988000. Its totient is φ = 50721914880.

The previous prime is 255425788769. The next prime is 255425788823. The reversal of 255425788800 is 8887524552.

255425788800 is a `hidden beast` number, since 2 + 554 + 2 + 5 + 7 + 8 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 15025046392 + ... + 15025046408.

Almost surely, 2^255425788800 is an apocalyptic number.

255425788800 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 255425788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630145494000).

255425788800 is an abundant number, since it is smaller than the sum of its proper divisors (1004865199200).

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

255425788800 is a wasteful number, since it uses less digits than its factorization.

255425788800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 7168000, while the sum is 54.

The spelling of 255425788800 in words is "two hundred fifty-five billion, four hundred twenty-five million, seven hundred eighty-eight thousand, eight hundred".