256646564325060 has 192 divisors, whose sum is σ = 889074142838784. Its totient is φ = 53866098777600.

The previous prime is 256646564325043. The next prime is 256646564325077. The reversal of 256646564325060 is 60523465646652.

It is an interprime number because it is at equal distance from previous prime (256646564325043) and next prime (256646564325077).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 256646564324985 and 256646564325003.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122006526 + ... + 124092245.

It is an arithmetic number, because the mean of its divisors is an integer number (4630594493952).

Almost surely, 2^{256646564325060} is an apocalyptic number.

256646564325060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256646564325060 is an abundant number, since it is smaller than the sum of its proper divisors (632427578513724).

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

256646564325060 is a wasteful number, since it uses less digits than its factorization.

256646564325060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246098994 (or 246098992 counting only the distinct ones).

The product of its (nonzero) digits is 186624000, while the sum is 60.

The spelling of 256646564325060 in words is "two hundred fifty-six trillion, six hundred forty-six billion, five hundred sixty-four million, three hundred twenty-five thousand, sixty".