5716700216100 has 216 divisors, whose sum is σ = 19013720544000. Its totient is φ = 1431679011840.

The previous prime is 5716700216081. The next prime is 5716700216119. The reversal of 5716700216100 is 16120076175.

5716700216100 is a `hidden beast` number, since 5 + 7 + 16 + 7 + 0 + 0 + 21 + 610 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5716700216081) and next prime (5716700216119).

It is a super-2 number, since 2×5716700216100² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6680401 + ... + 7487399.

It is an arithmetic number, because the mean of its divisors is an integer number (88026484000).

Almost surely, 2^{5716700216100} is an apocalyptic number.

5716700216100 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 5716700216100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9506860272000).

5716700216100 is an abundant number, since it is smaller than the sum of its proper divisors (13297020327900).

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

5716700216100 is a wasteful number, since it uses less digits than its factorization.

5716700216100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807499 (or 807489 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 5716700216100 in words is "five trillion, seven hundred sixteen billion, seven hundred million, two hundred sixteen thousand, one hundred".