10886318352 has 480 divisors, whose sum is σ = 40264922880. Its totient is φ = 2769500160.

The previous prime is 10886318341. The next prime is 10886318353. The reversal of 10886318352 is 25381368801.

10886318352 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 631 + 8 + 3 + 5 + 2 = 666.

It is a super-2 number, since 2×10886318352² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10886318298 and 10886318307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10886318353) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10259902 + ... + 10260962.

It is an arithmetic number, because the mean of its divisors is an integer number (83885256).

Almost surely, 2^10886318352 is an apocalyptic number.

10886318352 is a gapful number since it is divisible by the number (12) 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 10886318352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20132461440).

10886318352 is an abundant number, since it is smaller than the sum of its proper divisors (29378604528).

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

10886318352 is a wasteful number, since it uses less digits than its factorization.

10886318352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 10886318352 in words is "ten billion, eight hundred eighty-six million, three hundred eighteen thousand, three hundred fifty-two".