5813714400 has 576 divisors, whose sum is σ = 21993467328. Its totient is φ = 1321205760.

The previous prime is 5813714377. The next prime is 5813714443. The reversal of 5813714400 is 44173185.

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, 51448744 + ... + 51448856.

It is an arithmetic number, because the mean of its divisors is an integer number (38183103).

Almost surely, 2^5813714400 is an apocalyptic number.

5813714400 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 5813714400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10996733664).

5813714400 is an abundant number, since it is smaller than the sum of its proper divisors (16179752928).

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

5813714400 is a wasteful number, since it uses less digits than its factorization.

5813714400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 5813714400 is about 76247.7173428818. The cubic root of 5813714400 is about 1798.1167958649.

Adding to 5813714400 its reverse (44173185), we get a palindrome (5857887585).

The spelling of 5813714400 in words is "five billion, eight hundred thirteen million, seven hundred fourteen thousand, four hundred".