256602405418828 has 96 divisors (see below), whose sum is σ = 545733279995904. Its totient is φ = 103058744076288.

The previous prime is 256602405418787. The next prime is 256602405418859. The reversal of 256602405418828 is 828814504206652.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101674600 + ... + 104167792.

It is an arithmetic number, because the mean of its divisors is an integer number (5684721666624).

Almost surely, 2^{256602405418828} is an apocalyptic number.

256602405418828 is a gapful number since it is divisible by the number (28) 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 256602405418828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272866639997952).

256602405418828 is an abundant number, since it is smaller than the sum of its proper divisors (289130874577076).

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

256602405418828 is a wasteful number, since it uses less digits than its factorization.

256602405418828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494151 (or 2494149 counting only the distinct ones).

The product of its (nonzero) digits is 58982400, while the sum is 61.

The spelling of 256602405418828 in words is "two hundred fifty-six trillion, six hundred two billion, four hundred five million, four hundred eighteen thousand, eight hundred twenty-eight".