5186528800 has 72 divisors (see below), whose sum is σ = 13328053200. Its totient is φ = 1965415680.

The previous prime is 5186528731. The next prime is 5186528803. The reversal of 5186528800 is 88256815.

It is not an unprimeable number, because it can be changed into a prime (5186528803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155410 + ... + 185809.

It is an arithmetic number, because the mean of its divisors is an integer number (185111850).

Almost surely, 2^5186528800 is an apocalyptic number.

5186528800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5186528800 is an abundant number, since it is smaller than the sum of its proper divisors (8141524400).

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

5186528800 is a wasteful number, since it uses less digits than its factorization.

5186528800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341258 (or 341245 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 43.

The square root of 5186528800 is about 72017.5589700179. The cubic root of 5186528800 is about 1730.9808553438.

The spelling of 5186528800 in words is "five billion, one hundred eighty-six million, five hundred twenty-eight thousand, eight hundred".