255931488000 has 1296 divisors, whose sum is σ = 1016692762176. Its totient is φ = 64049356800.

The previous prime is 255931487993. The next prime is 255931488013. The reversal of 255931488000 is 884139552.

255931488000 is a `hidden beast` number, since 2 + 559 + 3 + 14 + 8 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4828895974 + ... + 4828896026.

It is an arithmetic number, because the mean of its divisors is an integer number (784485156).

Almost surely, 2^255931488000 is an apocalyptic number.

255931488000 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 255931488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508346381088).

255931488000 is an abundant number, since it is smaller than the sum of its proper divisors (760761274176).

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

255931488000 is an frugal number, since it uses more digits than its factorization.

255931488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 255931488000 in words is "two hundred fifty-five billion, nine hundred thirty-one million, four hundred eighty-eight thousand".