256387060224 has 240 divisors, whose sum is σ = 773115767424. Its totient is φ = 81641472000.

The previous prime is 256387060211. The next prime is 256387060229. The reversal of 256387060224 is 422060783652.

256387060224 is a `hidden beast` number, since 2 + 5 + 6 + 38 + 7 + 0 + 602 + 2 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 256387060224.

It is not an unprimeable number, because it can be changed into a prime (256387060229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160141024 + ... + 160142624.

Almost surely, 2^256387060224 is an apocalyptic number.

256387060224 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 256387060224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386557883712).

256387060224 is an abundant number, since it is smaller than the sum of its proper divisors (516728707200).

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

256387060224 is a wasteful number, since it uses less digits than its factorization.

256387060224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3159 (or 3140 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 256387060224 in words is "two hundred fifty-six billion, three hundred eighty-seven million, sixty thousand, two hundred twenty-four".