5716633190400 has 1710 divisors, whose sum is σ = 23540208427890. Its totient is φ = 1370279116800.

The previous prime is 5716633190341. The next prime is 5716633190419. The reversal of 5716633190400 is 40913366175.

It is a happy number.

5716633190400 is a `hidden beast` number, since 5 + 7 + 1 + 6 + 633 + 1 + 9 + 0 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 41108373504 + 5675524816896 = 202752^2 + 2382336^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 64231833556 + ... + 64231833644.

It is an arithmetic number, because the mean of its divisors is an integer number (13766203759).

Almost surely, 2^{5716633190400} is an apocalyptic number.

5716633190400 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 5716633190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11770104213945).

5716633190400 is an abundant number, since it is smaller than the sum of its proper divisors (17823575237490).

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

5716633190400 is an frugal number, since it uses more digits than its factorization.

5716633190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 5716633190400 in words is "five trillion, seven hundred sixteen billion, six hundred thirty-three million, one hundred ninety thousand, four hundred".