255901814784 has 1248 divisors, whose sum is σ = 992340305280. Its totient is φ = 65213890560.

The previous prime is 255901814771. The next prime is 255901814807. The reversal of 255901814784 is 487418109552.

255901814784 is a `hidden beast` number, since 2 + 5 + 5 + 90 + 1 + 81 + 478 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 255901814784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4828336102 + ... + 4828336154.

Almost surely, 2^255901814784 is an apocalyptic number.

255901814784 is a gapful number since it is divisible by the number (24) 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 255901814784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496170152640).

255901814784 is an abundant number, since it is smaller than the sum of its proper divisors (736438490496).

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

255901814784 is an frugal number, since it uses more digits than its factorization.

255901814784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 255901814784 in words is "two hundred fifty-five billion, nine hundred one million, eight hundred fourteen thousand, seven hundred eighty-four".