5716735200 has 864 divisors, whose sum is σ = 24129705600. Its totient is φ = 1257984000.

The previous prime is 5716735183. The next prime is 5716735243. The reversal of 5716735200 is 25376175.

5716735200 is a `hidden beast` number, since 5 + 71 + 67 + 3 + 520 + 0 = 666.

It is a super-2 number, since 2×5716735200² = 65362122693838080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43639135 + ... + 43639265.

It is an arithmetic number, because the mean of its divisors is an integer number (27927900).

Almost surely, 2^5716735200 is an apocalyptic number.

5716735200 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 5716735200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12064852800).

5716735200 is an abundant number, since it is smaller than the sum of its proper divisors (18412970400).

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

5716735200 is a wasteful number, since it uses less digits than its factorization.

5716735200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 5716735200 is about 75609.0946910489. The cubic root of 5716735200 is about 1788.0624874938.

The spelling of 5716735200 in words is "five billion, seven hundred sixteen million, seven hundred thirty-five thousand, two hundred".