255507436800 has 2160 divisors, whose sum is σ = 1216667878272. Its totient is φ = 51358924800.

The previous prime is 255507436711. The next prime is 255507436843. The reversal of 255507436800 is 8634705552.

255507436800 is a `hidden beast` number, since 25 + 5 + 507 + 43 + 6 + 80 + 0 = 666.

255507436800 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 (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1476921514 + ... + 1476921686.

Almost surely, 2^255507436800 is an apocalyptic number.

255507436800 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 255507436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608333939136).

255507436800 is an abundant number, since it is smaller than the sum of its proper divisors (961160441472).

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

255507436800 is a wasteful number, since it uses less digits than its factorization.

255507436800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 255507436800 in words is "two hundred fifty-five billion, five hundred seven million, four hundred thirty-six thousand, eight hundred".