255949405056 has 384 divisors, whose sum is σ = 780405312960. Its totient is φ = 80409231360.

The previous prime is 255949405027. The next prime is 255949405109. The reversal of 255949405056 is 650504949552.

255949405056 is a `hidden beast` number, since 2 + 5 + 5 + 94 + 9 + 40 + 505 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 255949404993 and 255949405011.

It is a congruent number.

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, 291846090 + ... + 291846966.

Almost surely, 2^255949405056 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 255949405056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390202656480).

255949405056 is an abundant number, since it is smaller than the sum of its proper divisors (524455907904).

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

255949405056 is a wasteful number, since it uses less digits than its factorization.

255949405056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 9720000, while the sum is 54.

The spelling of 255949405056 in words is "two hundred fifty-five billion, nine hundred forty-nine million, four hundred five thousand, fifty-six".