256727724100 has 18 divisors (see below), whose sum is σ = 557099161514. Its totient is φ = 102691089600.

The previous prime is 256727724091. The next prime is 256727724109. The reversal of 256727724100 is 1427727652.

It is an interprime number because it is at equal distance from previous prime (256727724091) and next prime (256727724109).

It can be written as a sum of positive squares in 3 ways, for example, as 68919900676 + 187807823424 = 262526^2 + 433368^2 .

It is not an unprimeable number, because it can be changed into a prime (256727724109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1283638521 + ... + 1283638720.

Almost surely, 2^256727724100 is an apocalyptic number.

256727724100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256727724100 is an abundant number, since it is smaller than the sum of its proper divisors (300371437414).

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

256727724100 is a wasteful number, since it uses less digits than its factorization.

256727724100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2567277255 (or 2567277248 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 43.

The spelling of 256727724100 in words is "two hundred fifty-six billion, seven hundred twenty-seven million, seven hundred twenty-four thousand, one hundred".