10886120208 has 120 divisors (see below), whose sum is σ = 31982595840. Its totient is φ = 3452048640.

The previous prime is 10886120197. The next prime is 10886120263. The reversal of 10886120208 is 80202168801.

10886120208 is a `hidden beast` number, since 10 + 8 + 8 + 612 + 0 + 20 + 8 = 666.

It is a super-2 number, since 2×10886120208² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242710 + ... + 284042.

It is an arithmetic number, because the mean of its divisors is an integer number (266521632).

Almost surely, 2^10886120208 is an apocalyptic number.

10886120208 is a gapful number since it is divisible by the number (18) 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 10886120208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15991297920).

10886120208 is an abundant number, since it is smaller than the sum of its proper divisors (21096475632).

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

10886120208 is a wasteful number, since it uses less digits than its factorization.

10886120208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41437 (or 41428 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 10886120208 in words is "ten billion, eight hundred eighty-six million, one hundred twenty thousand, two hundred eight".