5605485984 has 192 divisors, whose sum is σ = 18752025600. Its totient is φ = 1595821824.

The previous prime is 5605485979. The next prime is 5605486031. The reversal of 5605485984 is 4895845065.

5605485984 is a `hidden beast` number, since 5 + 6 + 0 + 5 + 48 + 598 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5605485984.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1855227 + ... + 1858245.

It is an arithmetic number, because the mean of its divisors is an integer number (97666800).

Almost surely, 2^5605485984 is an apocalyptic number.

5605485984 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 5605485984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9376012800).

5605485984 is an abundant number, since it is smaller than the sum of its proper divisors (13146539616).

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

5605485984 is a wasteful number, since it uses less digits than its factorization.

5605485984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3352 (or 3338 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The square root of 5605485984 is about 74869.7935351768. The cubic root of 5605485984 is about 1776.3876984131.

The spelling of 5605485984 in words is "five billion, six hundred five million, four hundred eighty-five thousand, nine hundred eighty-four".