256461550776 has 96 divisors (see below), whose sum is σ = 709830264000. Its totient is φ = 83630506752.

The previous prime is 256461550769. The next prime is 256461550777. The reversal of 256461550776 is 677055164652.

It is a happy number.

256461550776 is a `hidden beast` number, since 2 + 5 + 6 + 4 + 61 + 5 + 507 + 76 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256461550777) 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, 413166 + ... + 826818.

It is an arithmetic number, because the mean of its divisors is an integer number (7394065250).

Almost surely, 2^256461550776 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 256461550776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354915132000).

256461550776 is an abundant number, since it is smaller than the sum of its proper divisors (453368713224).

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

256461550776 is a wasteful number, since it uses less digits than its factorization.

256461550776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413853 (or 413846 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 256461550776 in words is "two hundred fifty-six billion, four hundred sixty-one million, five hundred fifty thousand, seven hundred seventy-six".