55584419400 has 480 divisors, whose sum is σ = 198616350240. Its totient is φ = 14401981440.

The previous prime is 55584419399. The next prime is 55584419417. The reversal of 55584419400 is 491448555.

55584419400 is a `hidden beast` number, since 5 + 558 + 4 + 4 + 1 + 94 + 0 + 0 = 666.

55584419400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 90087892 + ... + 90088508.

It is an arithmetic number, because the mean of its divisors is an integer number (413784063).

Almost surely, 2^55584419400 is an apocalyptic number.

55584419400 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 55584419400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99308175120).

55584419400 is an abundant number, since it is smaller than the sum of its proper divisors (143031930840).

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

55584419400 is a wasteful number, since it uses less digits than its factorization.

55584419400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 55584419400 in words is "fifty-five billion, five hundred eighty-four million, four hundred nineteen thousand, four hundred".