55638106656 has 192 divisors, whose sum is σ = 161083883520. Its totient is φ = 16675061760.

The previous prime is 55638106639. The next prime is 55638106661. The reversal of 55638106656 is 65660183655.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 55638106599 and 55638106608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77382265 + ... + 77382983.

It is an arithmetic number, because the mean of its divisors is an integer number (838978560).

Almost surely, 2^55638106656 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 55638106656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80541941760).

55638106656 is an abundant number, since it is smaller than the sum of its proper divisors (105445776864).

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

55638106656 is a wasteful number, since it uses less digits than its factorization.

55638106656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 51.

The spelling of 55638106656 in words is "fifty-five billion, six hundred thirty-eight million, one hundred six thousand, six hundred fifty-six".