5311196800 has 576 divisors, whose sum is σ = 17220504960. Its totient is φ = 1581465600.

The previous prime is 5311196767. The next prime is 5311196827. The reversal of 5311196800 is 86911135.

It is a super-2 number, since 2×5311196800² = 56417622896660480000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 87068770 + ... + 87068830.

It is an arithmetic number, because the mean of its divisors is an integer number (29896710).

Almost surely, 2^5311196800 is an apocalyptic number.

5311196800 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 5311196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8610252480).

5311196800 is an abundant number, since it is smaller than the sum of its proper divisors (11909308160).

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

5311196800 is a wasteful number, since it uses less digits than its factorization.

5311196800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 34.

The square root of 5311196800 is about 72877.9582589963. The cubic root of 5311196800 is about 1744.7403220015.

The spelling of 5311196800 in words is "five billion, three hundred eleven million, one hundred ninety-six thousand, eight hundred".