5605005140 has 72 divisors (see below), whose sum is σ = 13703686920. Its totient is φ = 1920108288.

The previous prime is 5605005137. The next prime is 5605005143. The reversal of 5605005140 is 415005065.

It is an interprime number because it is at equal distance from previous prime (5605005137) and next prime (5605005143).

It can be written as a sum of positive squares in 4 ways, for example, as 1315803076 + 4289202064 = 36274^2 + 65492^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5605005143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2261582 + ... + 2264058.

It is an arithmetic number, because the mean of its divisors is an integer number (190328985).

Almost surely, 2^5605005140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5605005140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6851843460).

5605005140 is an abundant number, since it is smaller than the sum of its proper divisors (8098681780).

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

5605005140 is a wasteful number, since it uses less digits than its factorization.

5605005140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4809 (or 4800 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The square root of 5605005140 is about 74866.5822647194. The cubic root of 5605005140 is about 1776.3369035434.

The spelling of 5605005140 in words is "five billion, six hundred five million, five thousand, one hundred forty".