256605083550 has 144 divisors (see below), whose sum is σ = 703655119440. Its totient is φ = 67018897920.

The previous prime is 256605083513. The next prime is 256605083639. The reversal of 256605083550 is 55380506652.

256605083550 is a `hidden beast` number, since 2 + 5 + 6 + 60 + 508 + 35 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 256605083496 and 256605083505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13990786 + ... + 14009114.

It is an arithmetic number, because the mean of its divisors is an integer number (4886493885).

Almost surely, 2^256605083550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256605083550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351827559720).

256605083550 is an abundant number, since it is smaller than the sum of its proper divisors (447050035890).

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

256605083550 is a wasteful number, since it uses less digits than its factorization.

256605083550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18987 (or 18979 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 256605083550 in words is "two hundred fifty-six billion, six hundred five million, eighty-three thousand, five hundred fifty".