5163736800 has 288 divisors, whose sum is σ = 17427572064. Its totient is φ = 1327104000.

The previous prime is 5163736789. The next prime is 5163736811. The reversal of 5163736800 is 86373615.

It is an interprime number because it is at equal distance from previous prime (5163736789) and next prime (5163736811).

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, 9544530 + ... + 9545070.

It is an arithmetic number, because the mean of its divisors is an integer number (60512403).

Almost surely, 2^5163736800 is an apocalyptic number.

5163736800 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 5163736800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8713786032).

5163736800 is an abundant number, since it is smaller than the sum of its proper divisors (12263835264).

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

5163736800 is a wasteful number, since it uses less digits than its factorization.

5163736800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 5163736800 is about 71859.1455557328. The cubic root of 5163736800 is about 1728.4415559696.

The spelling of 5163736800 in words is "five billion, one hundred sixty-three million, seven hundred thirty-six thousand, eight hundred".