255436859894400 has 288 divisors, whose sum is σ = 959428690178400. Its totient is φ = 64531417098240.

The previous prime is 255436859894383. The next prime is 255436859894407. The reversal of 255436859894400 is 4498958634552.

255436859894400 is a `hidden beast` number, since 2 + 5 + 5 + 43 + 6 + 8 + 5 + 98 + 94 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×255436859894400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (255436859894407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 232856364 + ... + 233950763.

It is an arithmetic number, because the mean of its divisors is an integer number (3331349618675).

Almost surely, 2^{255436859894400} is an apocalyptic number.

255436859894400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

255436859894400 is an abundant number, since it is smaller than the sum of its proper divisors (703991830284000).

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

255436859894400 is a wasteful number, since it uses less digits than its factorization.

255436859894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466807176 (or 466807156 counting only the distinct ones).

The product of its (nonzero) digits is 1492992000, while the sum is 72.

The spelling of 255436859894400 in words is "two hundred fifty-five trillion, four hundred thirty-six billion, eight hundred fifty-nine million, eight hundred ninety-four thousand, four hundred".