256089931776 has 480 divisors, whose sum is σ = 878721813760. Its totient is φ = 73096888320.

The previous prime is 256089931739. The next prime is 256089931793. The reversal of 256089931776 is 677139980652.

256089931776 is a `hidden beast` number, since 2 + 5 + 608 + 9 + 9 + 3 + 17 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250822146 + ... + 250823166.

Almost surely, 2^256089931776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256089931776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439360906880).

256089931776 is an abundant number, since it is smaller than the sum of its proper divisors (622631881984).

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

256089931776 is an frugal number, since it uses more digits than its factorization.

256089931776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 256089931776 in words is "two hundred fifty-six billion, eighty-nine million, nine hundred thirty-one thousand, seven hundred seventy-six".