256788775488 has 224 divisors, whose sum is σ = 783477817344. Its totient is φ = 72708968448.

The previous prime is 256788775427. The next prime is 256788775519. The reversal of 256788775488 is 884577887652.

It is a tau number, because it is divible by the number of its divisors (224).

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, 200146495 + ... + 200147777.

Almost surely, 2^256788775488 is an apocalyptic number.

256788775488 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 256788775488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391738908672).

256788775488 is an abundant number, since it is smaller than the sum of its proper divisors (526689041856).

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

256788775488 is a wasteful number, since it uses less digits than its factorization.

256788775488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2529 (or 2519 counting only the distinct ones).

The product of its digits is 1685913600, while the sum is 75.

The spelling of 256788775488 in words is "two hundred fifty-six billion, seven hundred eighty-eight million, seven hundred seventy-five thousand, four hundred eighty-eight".