10516968960 has 160 divisors (see below), whose sum is σ = 35083825920. Its totient is φ = 2682544128.

The previous prime is 10516968941. The next prime is 10516969009. The reversal of 10516968960 is 6986961501.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×10516968960² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146871 + ... + 206409.

It is an arithmetic number, because the mean of its divisors is an integer number (219273912).

Almost surely, 2^10516968960 is an apocalyptic number.

10516968960 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 10516968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17541912960).

10516968960 is an abundant number, since it is smaller than the sum of its proper divisors (24566856960).

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

10516968960 is an equidigital number, since it uses as much as digits as its factorization.

10516968960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59588 (or 59572 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 51.

The spelling of 10516968960 in words is "ten billion, five hundred sixteen million, nine hundred sixty-eight thousand, nine hundred sixty".