5121186400 has 72 divisors (see below), whose sum is σ = 13638673944. Its totient is φ = 1862246400.

The previous prime is 5121186397. The next prime is 5121186401. The reversal of 5121186400 is 46811215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5121186401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 282177 + ... + 299776.

It is an arithmetic number, because the mean of its divisors is an integer number (189426027).

Almost surely, 2^5121186400 is an apocalyptic number.

5121186400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5121186400 is an abundant number, since it is smaller than the sum of its proper divisors (8517487544).

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

5121186400 is a wasteful number, since it uses less digits than its factorization.

5121186400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581984 (or 581971 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 5121186400 is about 71562.4650218255. The cubic root of 5121186400 is about 1723.6808678544.

Adding to 5121186400 its reverse (46811215), we get a palindrome (5167997615).

The spelling of 5121186400 in words is "five billion, one hundred twenty-one million, one hundred eighty-six thousand, four hundred".