10863875117568 has 640 divisors, whose sum is σ = 34943801739264. Its totient is φ = 2958629273600.

The previous prime is 10863875117567. The next prime is 10863875117587. The reversal of 10863875117568 is 86571157836801.

It is a super-2 number, since 2×10863875117568² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 10863875117499 and 10863875117508.

It is not an unprimeable number, because it can be changed into a prime (10863875117567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5423800855 + ... + 5423802857.

Almost surely, 2^{10863875117568} 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 10863875117568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17471900869632).

10863875117568 is an abundant number, since it is smaller than the sum of its proper divisors (24079926621696).

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

10863875117568 is a wasteful number, since it uses less digits than its factorization.

10863875117568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2896 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 66.

The spelling of 10863875117568 in words is "ten trillion, eight hundred sixty-three billion, eight hundred seventy-five million, one hundred seventeen thousand, five hundred sixty-eight".