55584744600 has 384 divisors, whose sum is σ = 215586201600. Its totient is φ = 11509516800.

The previous prime is 55584744571. The next prime is 55584744619. The reversal of 55584744600 is 644748555.

55584744600 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 55584744600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14181441 + ... + 14185359.

It is an arithmetic number, because the mean of its divisors is an integer number (561422400).

Almost surely, 2^55584744600 is an apocalyptic number.

55584744600 is a gapful number since it is divisible by the number (50) 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 55584744600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107793100800).

55584744600 is an abundant number, since it is smaller than the sum of its proper divisors (160001457000).

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

55584744600 is a wasteful number, since it uses less digits than its factorization.

55584744600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4263 (or 4254 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 48.

The spelling of 55584744600 in words is "fifty-five billion, five hundred eighty-four million, seven hundred forty-four thousand, six hundred".