10688910965664 has 96 divisors (see below), whose sum is σ = 28762165635840. Its totient is φ = 3473719603200.

The previous prime is 10688910965611. The next prime is 10688910965713. The reversal of 10688910965664 is 46656901988601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10688910965664² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

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, 4912377 + ... + 6746055.

It is an arithmetic number, because the mean of its divisors is an integer number (299605892040).

Almost surely, 2^{10688910965664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10688910965664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14381082817920).

10688910965664 is an abundant number, since it is smaller than the sum of its proper divisors (18073254670176).

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

10688910965664 is a wasteful number, since it uses less digits than its factorization.

10688910965664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1835214 (or 1835206 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 69.

The spelling of 10688910965664 in words is "ten trillion, six hundred eighty-eight billion, nine hundred ten million, nine hundred sixty-five thousand, six hundred sixty-four".