5185116504 has 192 divisors, whose sum is σ = 15378854400. Its totient is φ = 1633395456.

The previous prime is 5185116499. The next prime is 5185116539. The reversal of 5185116504 is 4056115815.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3978717 + ... + 3980019.

It is an arithmetic number, because the mean of its divisors is an integer number (80098200).

Almost surely, 2^5185116504 is an apocalyptic number.

5185116504 is a gapful number since it is divisible by the number (54) 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 5185116504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7689427200).

5185116504 is an abundant number, since it is smaller than the sum of its proper divisors (10193737896).

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

5185116504 is a wasteful number, since it uses less digits than its factorization.

5185116504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The square root of 5185116504 is about 72007.7530825674. The cubic root of 5185116504 is about 1730.8237252503.

The spelling of 5185116504 in words is "five billion, one hundred eighty-five million, one hundred sixteen thousand, five hundred four".