5759462400 has 264 divisors, whose sum is σ = 20042258880. Its totient is φ = 1454653440.

The previous prime is 5759462393. The next prime is 5759462447. The reversal of 5759462400 is 42649575.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1457227 + ... + 1461173.

Almost surely, 2^5759462400 is an apocalyptic number.

5759462400 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 5759462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10021129440).

5759462400 is an abundant number, since it is smaller than the sum of its proper divisors (14282796480).

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

5759462400 is a wasteful number, since it uses less digits than its factorization.

5759462400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3999 (or 3976 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 5759462400 is about 75891.1220104170. The cubic root of 5759462400 is about 1792.5061282954.

The spelling of 5759462400 in words is "five billion, seven hundred fifty-nine million, four hundred sixty-two thousand, four hundred".