5712335354400 has 576 divisors, whose sum is σ = 19437251936256. Its totient is φ = 1455501312000.

The previous prime is 5712335354389. The next prime is 5712335354441. The reversal of 5712335354400 is 44535332175.

It is a happy number.

It is a super-2 number, since 2×5712335354400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4640401785 + ... + 4640403015.

It is an arithmetic number, because the mean of its divisors is an integer number (33745229056).

Almost surely, 2^{5712335354400} is an apocalyptic number.

5712335354400 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 5712335354400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9718625968128).

5712335354400 is an abundant number, since it is smaller than the sum of its proper divisors (13724916581856).

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

5712335354400 is a wasteful number, since it uses less digits than its factorization.

5712335354400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 42.

The spelling of 5712335354400 in words is "five trillion, seven hundred twelve billion, three hundred thirty-five million, three hundred fifty-four thousand, four hundred".