256198629760 has 64 divisors (see below), whose sum is σ = 613754236800. Its totient is φ = 102265384960.

The previous prime is 256198629751. The next prime is 256198629769. The reversal of 256198629760 is 67926891652.

It is an interprime number because it is at equal distance from previous prime (256198629751) and next prime (256198629769).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256198629769) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 111301 + ... + 724420.

It is an arithmetic number, because the mean of its divisors is an integer number (9589909950).

Almost surely, 2^256198629760 is an apocalyptic number.

256198629760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256198629760 is an abundant number, since it is smaller than the sum of its proper divisors (357555607040).

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

256198629760 is an equidigital number, since it uses as much as digits as its factorization.

256198629760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836219 (or 836207 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 61.

The spelling of 256198629760 in words is "two hundred fifty-six billion, one hundred ninety-eight million, six hundred twenty-nine thousand, seven hundred sixty".