5170936800 has 144 divisors (see below), whose sum is σ = 16960914432. Its totient is φ = 1368307200.

The previous prime is 5170936763. The next prime is 5170936831. The reversal of 5170936800 is 86390715.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306177 + ... + 322623.

It is an arithmetic number, because the mean of its divisors is an integer number (117784128).

Almost surely, 2^5170936800 is an apocalyptic number.

5170936800 is a gapful number since it is divisible by the number (50) 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 5170936800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8480457216).

5170936800 is an abundant number, since it is smaller than the sum of its proper divisors (11789977632).

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

5170936800 is a wasteful number, since it uses less digits than its factorization.

5170936800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16601 (or 16588 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 5170936800 is about 71909.2261118141. The cubic root of 5170936800 is about 1729.2445274145.

The spelling of 5170936800 in words is "five billion, one hundred seventy million, nine hundred thirty-six thousand, eight hundred".