256101570824 has 64 divisors (see below), whose sum is σ = 535192842240. Its totient is φ = 113889751360.

The previous prime is 256101570793. The next prime is 256101570839. The reversal of 256101570824 is 428075101652.

256101570824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 12492887 + ... + 12513369.

It is an arithmetic number, because the mean of its divisors is an integer number (8362388160).

Almost surely, 2^256101570824 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 256101570824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267596421120).

256101570824 is an abundant number, since it is smaller than the sum of its proper divisors (279091271416).

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

256101570824 is a wasteful number, since it uses less digits than its factorization.

256101570824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23570 (or 23566 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 41.

The spelling of 256101570824 in words is "two hundred fifty-six billion, one hundred one million, five hundred seventy thousand, eight hundred twenty-four".