5895168400 has 135 divisors (see below), whose sum is σ = 15612485763. Its totient is φ = 2137555200.

The previous prime is 5895168379. The next prime is 5895168467. The reversal of 5895168400 is 48615985.

The square root of 5895168400 is 76780.

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

It can be written as a sum of positive squares in 4 ways, for example, as 60652944 + 5834515456 = 7788^2 + 76384^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16891426 + ... + 16891774.

Almost surely, 2^5895168400 is an apocalyptic number.

5895168400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5895168400 is the 76780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5895168400

5895168400 is an abundant number, since it is smaller than the sum of its proper divisors (9717317363).

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

5895168400 is a wasteful number, since it uses less digits than its factorization.

5895168400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 46.

The cubic root of 5895168400 is about 1806.4754831592.

The spelling of 5895168400 in words is "five billion, eight hundred ninety-five million, one hundred sixty-eight thousand, four hundred".