5164164096 has 528 divisors, whose sum is σ = 17980848000. Its totient is φ = 1315012608.

The previous prime is 5164164053. The next prime is 5164164097. The reversal of 5164164096 is 6904614615.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5164164097) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178074610 + ... + 178074638.

Almost surely, 2^5164164096 is an apocalyptic number.

5164164096 is a gapful number since it is divisible by the number (56) 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 5164164096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8990424000).

5164164096 is an abundant number, since it is smaller than the sum of its proper divisors (12816683904).

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

5164164096 is a wasteful number, since it uses less digits than its factorization.

5164164096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 5164164096 is about 71862.1186439699. The cubic root of 5164164096 is about 1728.4892304749.

The spelling of 5164164096 in words is "five billion, one hundred sixty-four million, one hundred sixty-four thousand, ninety-six".