10714766516520 has 128 divisors (see below), whose sum is σ = 35081459735040. Its totient is φ = 2596411664640.

The previous prime is 10714766516497. The next prime is 10714766516521. The reversal of 10714766516520 is 2561566741701.

10714766516520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10714766516520² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10714766516521) 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, 1368759 + ... + 4827321.

It is an arithmetic number, because the mean of its divisors is an integer number (274073904180).

Almost surely, 2^{10714766516520} is an apocalyptic number.

10714766516520 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 10714766516520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17540729867520).

10714766516520 is an abundant number, since it is smaller than the sum of its proper divisors (24366693218520).

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

10714766516520 is a wasteful number, since it uses less digits than its factorization.

10714766516520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3460935 (or 3460931 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The spelling of 10714766516520 in words is "ten trillion, seven hundred fourteen billion, seven hundred sixty-six million, five hundred sixteen thousand, five hundred twenty".