5759404400 has 60 divisors (see below), whose sum is σ = 13875025632. Its totient is φ = 2297425920.

The previous prime is 5759404367. The next prime is 5759404403. The reversal of 5759404400 is 44049575.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5759404403) 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, 127184 + ... + 166416.

Almost surely, 2^5759404400 is an apocalyptic number.

5759404400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5759404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6937512816).

5759404400 is an abundant number, since it is smaller than the sum of its proper divisors (8115621232).

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

5759404400 is a wasteful number, since it uses less digits than its factorization.

5759404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39618 (or 39607 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The square root of 5759404400 is about 75890.7398830714. The cubic root of 5759404400 is about 1792.5001111999.

The spelling of 5759404400 in words is "five billion, seven hundred fifty-nine million, four hundred four thousand, four hundred".