256165397424 has 80 divisors (see below), whose sum is σ = 745645847040. Its totient is φ = 84185801280.

The previous prime is 256165397357. The next prime is 256165397431. The reversal of 256165397424 is 424793561652.

It is a happy number.

256165397424 is a `hidden beast` number, since 2 + 5 + 6 + 16 + 539 + 74 + 24 = 666.

256165397424 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 (54).

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 15 ways as a sum of consecutive naturals, for example, 4145212 + ... + 4206555.

It is an arithmetic number, because the mean of its divisors is an integer number (9320573088).

Almost surely, 2^256165397424 is an apocalyptic number.

256165397424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

256165397424 is an abundant number, since it is smaller than the sum of its proper divisors (489480449616).

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

256165397424 is a wasteful number, since it uses less digits than its factorization.

256165397424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8351855 (or 8351843 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 256165397424 in words is "two hundred fifty-six billion, one hundred sixty-five million, three hundred ninety-seven thousand, four hundred twenty-four".