5164405600 has 72 divisors (see below), whose sum is σ = 12641612760. Its totient is φ = 2060190720.

The previous prime is 5164405591. The next prime is 5164405657. The reversal of 5164405600 is 65044615.

It is a super-2 number, since 2×5164405600² = 53342170402622720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 294684 + ... + 311716.

It is an arithmetic number, because the mean of its divisors is an integer number (175577955).

Almost surely, 2^5164405600 is an apocalyptic number.

5164405600 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 5164405600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6320806380).

5164405600 is an abundant number, since it is smaller than the sum of its proper divisors (7477207160).

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

5164405600 is a wasteful number, since it uses less digits than its factorization.

5164405600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17432 (or 17419 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 5164405600 is about 71863.7989532978. The cubic root of 5164405600 is about 1728.5161745293.

The spelling of 5164405600 in words is "five billion, one hundred sixty-four million, four hundred five thousand, six hundred".