10716214085568 has 280 divisors, whose sum is σ = 31937533605120. Its totient is φ = 3552852533760.

The previous prime is 10716214085527. The next prime is 10716214085587. The reversal of 10716214085568 is 86558041261701.

10716214085568 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 62 + 14 + 0 + 8 + 5 + 568 = 666.

It is a super-2 number, since 2×10716214085568² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 869604655 + ... + 869616977.

Almost surely, 2^{10716214085568} is an apocalyptic number.

10716214085568 is a gapful number since it is divisible by the number (18) 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 10716214085568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15968766802560).

10716214085568 is an abundant number, since it is smaller than the sum of its proper divisors (21221319519552).

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

10716214085568 is a wasteful number, since it uses less digits than its factorization.

10716214085568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13237 (or 13218 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 10716214085568 in words is "ten trillion, seven hundred sixteen billion, two hundred fourteen million, eighty-five thousand, five hundred sixty-eight".