5782838958400 has 672 divisors, whose sum is σ = 17396525836800. Its totient is φ = 1887621120000.

The previous prime is 5782838958397. The next prime is 5782838958419. The reversal of 5782838958400 is 48598382875.

It is a congruent number.

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, 3041997450 + ... + 3041999350.

Almost surely, 2^{5782838958400} is an apocalyptic number.

5782838958400 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 5782838958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8698262918400).

5782838958400 is an abundant number, since it is smaller than the sum of its proper divisors (11613686878400).

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

5782838958400 is a wasteful number, since it uses less digits than its factorization.

5782838958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2208 (or 2179 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 67.

The spelling of 5782838958400 in words is "five trillion, seven hundred eighty-two billion, eight hundred thirty-eight million, nine hundred fifty-eight thousand, four hundred".