5125616664 has 128 divisors (see below), whose sum is σ = 14896327680. Its totient is φ = 1439424000.

The previous prime is 5125616651. The next prime is 5125616669. The reversal of 5125616664 is 4666165215.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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 (5125616669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7311514 + ... + 7312214.

It is an arithmetic number, because the mean of its divisors is an integer number (116377560).

Almost surely, 2^5125616664 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 5125616664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7448163840).

5125616664 is an abundant number, since it is smaller than the sum of its proper divisors (9770711016).

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

5125616664 is a wasteful number, since it uses less digits than its factorization.

5125616664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1397 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 5125616664 is about 71593.4121550300. The cubic root of 5125616664 is about 1724.1777683590.

The spelling of 5125616664 in words is "five billion, one hundred twenty-five million, six hundred sixteen thousand, six hundred sixty-four".