5716302200400 has 240 divisors, whose sum is σ = 19977871477248. Its totient is φ = 1385631936000.

The previous prime is 5716302200383. The next prime is 5716302200429. The reversal of 5716302200400 is 40022036175.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×5716302200400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208374685 + ... + 208402115.

Almost surely, 2^{5716302200400} is an apocalyptic number.

5716302200400 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 5716302200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9988935738624).

5716302200400 is an abundant number, since it is smaller than the sum of its proper divisors (14261569276848).

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

5716302200400 is a wasteful number, since it uses less digits than its factorization.

5716302200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43250 (or 43239 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

Adding to 5716302200400 its reverse (40022036175), we get a palindrome (5756324236575).

The spelling of 5716302200400 in words is "five trillion, seven hundred sixteen billion, three hundred two million, two hundred thousand, four hundred".