5004165936 has 480 divisors, whose sum is σ = 17686867968. Its totient is φ = 1181537280.

The previous prime is 5004165919. The next prime is 5004165977. The reversal of 5004165936 is 6395614005.

It is a junction number, because it is equal to n+sod(n) for n = 5004165894 and 5004165903.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116375931 + ... + 116375973.

Almost surely, 2^5004165936 is an apocalyptic number.

5004165936 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 5004165936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8843433984).

5004165936 is an abundant number, since it is smaller than the sum of its proper divisors (12682702032).

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

5004165936 is a wasteful number, since it uses less digits than its factorization.

5004165936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 5004165936 is about 70740.1296012384. The cubic root of 5004165936 is about 1710.4507248651.

The spelling of 5004165936 in words is "five billion, four million, one hundred sixty-five thousand, nine hundred thirty-six".