256853387232 has 720 divisors, whose sum is σ = 871378421760. Its totient is φ = 74282697216.

The previous prime is 256853387191. The next prime is 256853387233. The reversal of 256853387232 is 232783358652.

It is a happy number.

256853387232 is a `hidden beast` number, since 2 + 5 + 6 + 8 + 533 + 8 + 72 + 32 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256853387233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2022467553 + ... + 2022467679.

It is an arithmetic number, because the mean of its divisors is an integer number (1210247808).

Almost surely, 2^256853387232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256853387232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435689210880).

256853387232 is an abundant number, since it is smaller than the sum of its proper divisors (614525034528).

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

256853387232 is an equidigital number, since it uses as much as digits as its factorization.

256853387232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 164 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 256853387232 in words is "two hundred fifty-six billion, eight hundred fifty-three million, three hundred eighty-seven thousand, two hundred thirty-two".