10727716314 has 96 divisors (see below), whose sum is σ = 25442436096. Its totient is φ = 3006097920.

The previous prime is 10727716309. The next prime is 10727716319. The reversal of 10727716314 is 41361772701.

It is an interprime number because it is at equal distance from previous prime (10727716309) and next prime (10727716319).

It is not an unprimeable number, because it can be changed into a prime (10727716319) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4097934 + ... + 4100550.

It is an arithmetic number, because the mean of its divisors is an integer number (265025376).

Almost surely, 2^10727716314 is an apocalyptic number.

10727716314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10727716314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12721218048).

10727716314 is an abundant number, since it is smaller than the sum of its proper divisors (14714719782).

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

10727716314 is a wasteful number, since it uses less digits than its factorization.

10727716314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2900 (or 2893 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 39.

The spelling of 10727716314 in words is "ten billion, seven hundred twenty-seven million, seven hundred sixteen thousand, three hundred fourteen".