10867123966080 has 256 divisors, whose sum is σ = 36687959596800. Its totient is φ = 2726586089472.

The previous prime is 10867123966037. The next prime is 10867123966087. The reversal of 10867123966080 is 8066932176801.

It is a self number, because there is not a number n which added to its sum of digits gives 10867123966080.

It is not an unprimeable number, because it can be changed into a prime (10867123966087) 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, 108282004 + ... + 108382316.

It is an arithmetic number, because the mean of its divisors is an integer number (143312342175).

Almost surely, 2^{10867123966080} is an apocalyptic number.

10867123966080 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 10867123966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18343979798400).

10867123966080 is an abundant number, since it is smaller than the sum of its proper divisors (25820835630720).

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

10867123966080 is a wasteful number, since it uses less digits than its factorization.

10867123966080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103671 (or 103659 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 10867123966080 in words is "ten trillion, eight hundred sixty-seven billion, one hundred twenty-three million, nine hundred sixty-six thousand, eighty".