256542658320 has 320 divisors, whose sum is σ = 888354641664. Its totient is φ = 60831129600.

The previous prime is 256542658279. The next prime is 256542658397. The reversal of 256542658320 is 23856245652.

256542658320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 256542658320.

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 63 ways as a sum of consecutive naturals, for example, 11648439 + ... + 11670441.

Almost surely, 2^256542658320 is an apocalyptic number.

256542658320 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 256542658320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444177320832).

256542658320 is an abundant number, since it is smaller than the sum of its proper divisors (631811983344).

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

256542658320 is a wasteful number, since it uses less digits than its factorization.

256542658320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22170 (or 22164 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 48.

The spelling of 256542658320 in words is "two hundred fifty-six billion, five hundred forty-two million, six hundred fifty-eight thousand, three hundred twenty".