55585656 has 128 divisors (see below), whose sum is σ = 178752000. Its totient is φ = 15676416.

The previous prime is 55585637. The next prime is 55585661. The reversal of 55585656 is 65658555.

55585656 is a `hidden beast` number, since 5 + 5 + 585 + 65 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146475 + ... + 146853.

It is an arithmetic number, because the mean of its divisors is an integer number (1396500).

Almost surely, 2^55585656 is an apocalyptic number.

55585656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55585656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89376000).

55585656 is an abundant number, since it is smaller than the sum of its proper divisors (123166344).

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

55585656 is a wasteful number, since it uses less digits than its factorization.

55585656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 488 counting only the distinct ones).

The product of its digits is 900000, while the sum is 45.

The square root of 55585656 is about 7455.5788507667. The cubic root of 55585656 is about 381.6403145573.

The spelling of 55585656 in words is "fifty-five million, five hundred eighty-five thousand, six hundred fifty-six".