256827301795200 has 96 divisors (see below), whose sum is σ = 845924925319560. Its totient is φ = 68487280476160.

The previous prime is 256827301795193. The next prime is 256827301795201. The reversal of 256827301795200 is 2597103728652.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×256827301795200² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256827301795201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13376412369 + ... + 13376431568.

Almost surely, 2^{256827301795200} is an apocalyptic number.

256827301795200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256827301795200 is an abundant number, since it is smaller than the sum of its proper divisors (589097623524360).

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

256827301795200 is a wasteful number, since it uses less digits than its factorization.

256827301795200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26752843964 (or 26752843947 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 57.

The spelling of 256827301795200 in words is "two hundred fifty-six trillion, eight hundred twenty-seven billion, three hundred one million, seven hundred ninety-five thousand, two hundred".