256575127680 has 192 divisors, whose sum is σ = 886444153920. Its totient is φ = 68384655360.

The previous prime is 256575127657. The next prime is 256575127693. The reversal of 256575127680 is 86721575652.

256575127680 is a `hidden beast` number, since 2 + 5 + 6 + 57 + 512 + 76 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×256575127680² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12264109 + ... + 12285011.

It is an arithmetic number, because the mean of its divisors is an integer number (4616896635).

Almost surely, 2^256575127680 is an apocalyptic number.

256575127680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256575127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443222076960).

256575127680 is an abundant number, since it is smaller than the sum of its proper divisors (629869026240).

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

256575127680 is a wasteful number, since it uses less digits than its factorization.

256575127680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23059 (or 23044 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 256575127680 in words is "two hundred fifty-six billion, five hundred seventy-five million, one hundred twenty-seven thousand, six hundred eighty".