256546261064120 has 128 divisors (see below), whose sum is σ = 581167782074880. Its totient is φ = 101920702464000.

The previous prime is 256546261064099. The next prime is 256546261064129. The reversal of 256546261064120 is 21460162645652.

256546261064120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×256546261064120² (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 (256546261064129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19086836600 + ... + 19086850040.

It is an arithmetic number, because the mean of its divisors is an integer number (4540373297460).

Almost surely, 2^{256546261064120} is an apocalyptic number.

256546261064120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256546261064120 is an abundant number, since it is smaller than the sum of its proper divisors (324621521010760).

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

256546261064120 is a wasteful number, since it uses less digits than its factorization.

256546261064120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18817 (or 18813 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 50.

The spelling of 256546261064120 in words is "two hundred fifty-six trillion, five hundred forty-six billion, two hundred sixty-one million, sixty-four thousand, one hundred twenty".