10866286080 has 800 divisors, whose sum is σ = 43670642400. Its totient is φ = 2563964928.

The previous prime is 10866286063. The next prime is 10866286087. The reversal of 10866286080 is 8068266801.

10866286080 is a `hidden beast` number, since 10 + 8 + 6 + 6 + 28 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10866286087) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 78174651 + ... + 78174789.

It is an arithmetic number, because the mean of its divisors is an integer number (54588303).

Almost surely, 2^10866286080 is an apocalyptic number.

10866286080 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 10866286080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21835321200).

10866286080 is an abundant number, since it is smaller than the sum of its proper divisors (32804356320).

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

10866286080 is a wasteful number, since it uses less digits than its factorization.

10866286080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 10866286080 in words is "ten billion, eight hundred sixty-six million, two hundred eighty-six thousand, eighty".