256287213382080 has 2016 divisors, whose sum is σ = 964963152518400. Its totient is φ = 57444046995456.

The previous prime is 256287213381977. The next prime is 256287213382093. The reversal of 256287213382080 is 80283312782652.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 256287213382080.

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 287 ways as a sum of consecutive naturals, for example, 203564108491 + ... + 203564109749.

It is an arithmetic number, because the mean of its divisors is an integer number (478652357400).

Almost surely, 2^{256287213382080} is an apocalyptic number.

256287213382080 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 256287213382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482481576259200).

256287213382080 is an abundant number, since it is smaller than the sum of its proper divisors (708675939136320).

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

256287213382080 is a wasteful number, since it uses less digits than its factorization.

256287213382080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 57.

The spelling of 256287213382080 in words is "two hundred fifty-six trillion, two hundred eighty-seven billion, two hundred thirteen million, three hundred eighty-two thousand, eighty".