5538585600 has 330 divisors, whose sum is σ = 20516409584. Its totient is φ = 1476403200.

The previous prime is 5538585599. The next prime is 5538585607. The reversal of 5538585600 is 65858355.

5538585600 is a `hidden beast` number, since 5 + 5 + 3 + 8 + 585 + 60 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5538585607) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2072265 + ... + 2074935.

Almost surely, 2^5538585600 is an apocalyptic number.

5538585600 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 5538585600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10258204792).

5538585600 is an abundant number, since it is smaller than the sum of its proper divisors (14977823984).

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

5538585600 is a wasteful number, since it uses less digits than its factorization.

5538585600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2713 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The square root of 5538585600 is about 74421.6742622739. The cubic root of 5538585600 is about 1769.2924491705.

The spelling of 5538585600 in words is "five billion, five hundred thirty-eight million, five hundred eighty-five thousand, six hundred".