255850813814400 has 1920 divisors, whose sum is σ = 1093023515232000. Its totient is φ = 57725042688000.

The previous prime is 255850813814389. The next prime is 255850813814417. The reversal of 255850813814400 is 4418318058552.

255850813814400 is a `hidden beast` number, since 2 + 5 + 5 + 8 + 508 + 13 + 81 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 65788327656 + ... + 65788331544.

It is an arithmetic number, because the mean of its divisors is an integer number (569283080850).

Almost surely, 2^{255850813814400} is an apocalyptic number.

255850813814400 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 255850813814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546511757616000).

255850813814400 is an abundant number, since it is smaller than the sum of its proper divisors (837172701417600).

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

255850813814400 is a wasteful number, since it uses less digits than its factorization.

255850813814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4392 (or 4366 counting only the distinct ones).

The product of its (nonzero) digits is 6144000, while the sum is 54.

The spelling of 255850813814400 in words is "two hundred fifty-five trillion, eight hundred fifty billion, eight hundred thirteen million, eight hundred fourteen thousand, four hundred".