5186836800 has 126 divisors (see below), whose sum is σ = 18435293838. Its totient is φ = 1383152640.

The previous prime is 5186836783. The next prime is 5186836841. The reversal of 5186836800 is 86386815.

It can be written as a sum of positive squares in 3 ways, for example, as 102576384 + 5084260416 = 10128^2 + 71304^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 165699 + ... + 194498.

Almost surely, 2^5186836800 is an apocalyptic number.

5186836800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5186836800 is an abundant number, since it is smaller than the sum of its proper divisors (13248457038).

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

5186836800 is a wasteful number, since it uses less digits than its factorization.

5186836800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360225 (or 360207 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 5186836800 is about 72019.6973056677. The cubic root of 5186836800 is about 1731.0151192077.

The spelling of 5186836800 in words is "five billion, one hundred eighty-six million, eight hundred thirty-six thousand, eight hundred".