5186880400 has 135 divisors (see below), whose sum is σ = 13542682041. Its totient is φ = 1908241920.

The previous prime is 5186880389. The next prime is 5186880403. The reversal of 5186880400 is 40886815.

The square root of 5186880400 is 72020.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 5130570384 + 56310016 = 71628^2 + 7504^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5186880403) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 18725062 + ... + 18725338.

Almost surely, 2^5186880400 is an apocalyptic number.

5186880400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5186880400 is the 72020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5186880400

5186880400 is an abundant number, since it is smaller than the sum of its proper divisors (8355801641).

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

5186880400 is a wasteful number, since it uses less digits than its factorization.

5186880400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The cubic root of 5186880400 is about 1731.0199694373.

The spelling of 5186880400 in words is "five billion, one hundred eighty-six million, eight hundred eighty thousand, four hundred".