55256256 has 336 divisors, whose sum is σ = 199704960. Its totient is φ = 14929920.

The previous prime is 55256221. The next prime is 55256269. The reversal of 55256256 is 65265255.

55256256 is a `hidden beast` number, since 5 + 5 + 25 + 625 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 55256256.

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, 2908215 + ... + 2908233.

It is an arithmetic number, because the mean of its divisors is an integer number (594360).

Almost surely, 2^55256256 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 55256256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99852480).

55256256 is an abundant number, since it is smaller than the sum of its proper divisors (144448704).

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

55256256 is a wasteful number, since it uses less digits than its factorization.

55256256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 52 counting only the distinct ones).

The product of its digits is 90000, while the sum is 36.

The square root of 55256256 is about 7433.4551858473. The cubic root of 55256256 is about 380.8849550350.

It can be divided in two parts, 5525 and 6256, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 55256256 in words is "fifty-five million, two hundred fifty-six thousand, two hundred fifty-six".