55601635644 has 144 divisors (see below), whose sum is σ = 149867172000. Its totient is φ = 17331494400.

The previous prime is 55601635601. The next prime is 55601635657. The reversal of 55601635644 is 44653610655.

55601635644 is a `hidden beast` number, since 5 + 5 + 6 + 0 + 1 + 635 + 6 + 4 + 4 = 666.

55601635644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 55601635644.

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, 26872642 + ... + 26874710.

It is an arithmetic number, because the mean of its divisors is an integer number (1040744250).

Almost surely, 2^55601635644 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 55601635644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74933586000).

55601635644 is an abundant number, since it is smaller than the sum of its proper divisors (94265536356).

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

55601635644 is a wasteful number, since it uses less digits than its factorization.

55601635644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2588 (or 2583 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

It can be divided in two parts, 556016356 and 44, that added together give a square (556016400 = 23580²).

The spelling of 55601635644 in words is "fifty-five billion, six hundred one million, six hundred thirty-five thousand, six hundred forty-four".