256160849400 has 144 divisors (see below), whose sum is σ = 883524384600. Its totient is φ = 66463338240.

The previous prime is 256160849261. The next prime is 256160849401. The reversal of 256160849400 is 4948061652.

256160849400 is a `hidden beast` number, since 2 + 5 + 6 + 160 + 84 + 9 + 400 = 666.

256160849400 is digitally balanced in base 3, 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256160849401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1856530 + ... + 1989729.

Almost surely, 2^256160849400 is an apocalyptic number.

256160849400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256160849400 is an abundant number, since it is smaller than the sum of its proper divisors (627363535200).

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

256160849400 is a wasteful number, since it uses less digits than its factorization.

256160849400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3846318 (or 3846306 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 256160849400 in words is "two hundred fifty-six billion, one hundred sixty million, eight hundred forty-nine thousand, four hundred".