5716920468600 has 1296 divisors, whose sum is σ = 22099528039680. Its totient is φ = 1322576640000.

The previous prime is 5716920468587. The next prime is 5716920468667. The reversal of 5716920468600 is 68640296175.

5716920468600 is a `hidden beast` number, since 5 + 7 + 1 + 6 + 9 + 20 + 4 + 6 + 8 + 600 = 666.

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 323 ways as a sum of consecutive naturals, for example, 45015121737 + ... + 45015121863.

Almost surely, 2^{5716920468600} is an apocalyptic number.

5716920468600 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 5716920468600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11049764019840).

5716920468600 is an abundant number, since it is smaller than the sum of its proper divisors (16382607571080).

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

5716920468600 is a wasteful number, since it uses less digits than its factorization.

5716920468600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 5716920468600 in words is "five trillion, seven hundred sixteen billion, nine hundred twenty million, four hundred sixty-eight thousand, six hundred".