11716315680 has 192 divisors, whose sum is σ = 39816137088. Its totient is φ = 2884976640.

The previous prime is 11716315673. The next prime is 11716315687. The reversal of 11716315680 is 8651361711.

It is an interprime number because it is at equal distance from previous prime (11716315673) and next prime (11716315687).

It is a super-2 number, since 2×11716315680² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11716315687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418935 + ... + 446025.

It is an arithmetic number, because the mean of its divisors is an integer number (207375714).

Almost surely, 2^11716315680 is an apocalyptic number.

11716315680 is a gapful number since it is divisible by the number (10) 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 11716315680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19908068544).

11716315680 is an abundant number, since it is smaller than the sum of its proper divisors (28099821408).

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

11716315680 is a wasteful number, since it uses less digits than its factorization.

11716315680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27179 (or 27171 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The spelling of 11716315680 in words is "eleven billion, seven hundred sixteen million, three hundred fifteen thousand, six hundred eighty".