256725299880 has 512 divisors, whose sum is σ = 1045442764800. Its totient is φ = 54758246400.

The previous prime is 256725299879. The next prime is 256725299947. The reversal of 256725299880 is 88992527652.

256725299880 is a `hidden beast` number, since 25 + 6 + 7 + 2 + 529 + 9 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7111075 + ... + 7147085.

It is an arithmetic number, because the mean of its divisors is an integer number (2041880400).

Almost surely, 2^256725299880 is an apocalyptic number.

256725299880 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 256725299880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522721382400).

256725299880 is an abundant number, since it is smaller than the sum of its proper divisors (788717464920).

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

256725299880 is a wasteful number, since it uses less digits than its factorization.

256725299880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36102 (or 36092 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 256725299880 in words is "two hundred fifty-six billion, seven hundred twenty-five million, two hundred ninety-nine thousand, eight hundred eighty".