5066592400 has 45 divisors (see below), whose sum is σ = 12175909401. Its totient is φ = 2026067520.

The previous prime is 5066592397. The next prime is 5066592403. The reversal of 5066592400 is 42956605.

The square root of 5066592400 is 71180.

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

It is an interprime number because it is at equal distance from previous prime (5066592397) and next prime (5066592403).

It can be written as a sum of positive squares in only one way, i.e., 1823973264 + 3242619136 = 42708^2 + 56944^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5066592400.

It is not an unprimeable number, because it can be changed into a prime (5066592403) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1421821 + ... + 1425379.

Almost surely, 2^5066592400 is an apocalyptic number.

5066592400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5066592400 is the 71180-th square number.

It is an amenable number.

5066592400 is an abundant number, since it is smaller than the sum of its proper divisors (7109317001).

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

5066592400 is an frugal number, since it uses more digits than its factorization.

5066592400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7136 (or 3566 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The cubic root of 5066592400 is about 1717.5339185777.

The spelling of 5066592400 in words is "five billion, sixty-six million, five hundred ninety-two thousand, four hundred".