10115760818688 has 320 divisors, whose sum is σ = 30998168847360. Its totient is φ = 2871545167872.

The previous prime is 10115760818593. The next prime is 10115760818699. The reversal of 10115760818688 is 88681806751101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3901179120 + ... + 3901181712.

It is an arithmetic number, because the mean of its divisors is an integer number (96869277648).

Almost surely, 2^{10115760818688} 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 10115760818688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15499084423680).

10115760818688 is an abundant number, since it is smaller than the sum of its proper divisors (20882408028672).

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

10115760818688 is a wasteful number, since it uses less digits than its factorization.

10115760818688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4827 (or 4811 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 60.

The spelling of 10115760818688 in words is "ten trillion, one hundred fifteen billion, seven hundred sixty million, eight hundred eighteen thousand, six hundred eighty-eight".