256695430800 has 120 divisors (see below), whose sum is σ = 826824718720. Its totient is φ = 68073868800.

The previous prime is 256695430711. The next prime is 256695430801. The reversal of 256695430800 is 8034596652.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 256695430800.

It is not an unprimeable number, because it can be changed into a prime (256695430801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 373720 + ... + 808119.

Almost surely, 2^256695430800 is an apocalyptic number.

256695430800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256695430800 is an abundant number, since it is smaller than the sum of its proper divisors (570129287920).

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

256695430800 is a wasteful number, since it uses less digits than its factorization.

256695430800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182041 (or 1182030 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 256695430800 in words is "two hundred fifty-six billion, six hundred ninety-five million, four hundred thirty thousand, eight hundred".