5164401320 has 64 divisors (see below), whose sum is σ = 12605256720. Its totient is φ = 1892911104.

The previous prime is 5164401311. The next prime is 5164401323. The reversal of 5164401320 is 231044615.

It can be written as a sum of positive squares in 8 ways, for example, as 1970116996 + 3194284324 = 44386^2 + 56518^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 5164401320.

It is not an unprimeable number, because it can be changed into a prime (5164401323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34994 + ... + 107486.

Almost surely, 2^5164401320 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 5164401320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6302628360).

5164401320 is an abundant number, since it is smaller than the sum of its proper divisors (7440855400).

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

5164401320 is a wasteful number, since it uses less digits than its factorization.

5164401320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72654 (or 72650 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 5164401320 is about 71863.7691747378. The cubic root of 5164401320 is about 1728.5156970267.

Adding to 5164401320 its reverse (231044615), we get a palindrome (5395445935).

The spelling of 5164401320 in words is "five billion, one hundred sixty-four million, four hundred one thousand, three hundred twenty".