5605884504 has 512 divisors, whose sum is σ = 19226419200. Its totient is φ = 1505433600.

The previous prime is 5605884499. The next prime is 5605884509. The reversal of 5605884504 is 4054885065.

5605884504 is a `hidden beast` number, since 5 + 60 + 5 + 8 + 84 + 504 = 666.

It is an interprime number because it is at equal distance from previous prime (5605884499) and next prime (5605884509).

It is a self number, because there is not a number n which added to its sum of digits gives 5605884504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5605884509) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 151510374 + ... + 151510410.

It is an arithmetic number, because the mean of its divisors is an integer number (37551600).

Almost surely, 2^5605884504 is an apocalyptic number.

5605884504 is a gapful number since it is divisible by the number (54) 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 5605884504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9613209600).

5605884504 is an abundant number, since it is smaller than the sum of its proper divisors (13620534696).

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

5605884504 is a wasteful number, since it uses less digits than its factorization.

5605884504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The square root of 5605884504 is about 74872.4549083306. The cubic root of 5605884504 is about 1776.4297946293.

The spelling of 5605884504 in words is "five billion, six hundred five million, eight hundred eighty-four thousand, five hundred four".