256779645514728 has 192 divisors, whose sum is σ = 762409293644160. Its totient is φ = 71833542004224.

The previous prime is 256779645514687. The next prime is 256779645514741. The reversal of 256779645514728 is 827415546977652.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26123950 + ... + 34583522.

It is an arithmetic number, because the mean of its divisors is an integer number (3970881737730).

Almost surely, 2^{256779645514728} is an apocalyptic number.

256779645514728 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 256779645514728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381204646822080).

256779645514728 is an abundant number, since it is smaller than the sum of its proper divisors (505629648129432).

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

256779645514728 is a wasteful number, since it uses less digits than its factorization.

256779645514728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8460136 (or 8460125 counting only the distinct ones).

The product of its digits is 7112448000, while the sum is 78.

The spelling of 256779645514728 in words is "two hundred fifty-six trillion, seven hundred seventy-nine billion, six hundred forty-five million, five hundred fourteen thousand, seven hundred twenty-eight".