10886800680 has 1024 divisors, whose sum is σ = 47775744000. Its totient is φ = 2145927168.

The previous prime is 10886800621. The next prime is 10886800681. The reversal of 10886800680 is 8600868801.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (10886800681) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 85722777 + ... + 85722903.

It is an arithmetic number, because the mean of its divisors is an integer number (46656000).

Almost surely, 2^10886800680 is an apocalyptic number.

10886800680 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 10886800680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23887872000).

10886800680 is an abundant number, since it is smaller than the sum of its proper divisors (36888943320).

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

10886800680 is a wasteful number, since it uses less digits than its factorization.

10886800680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 10886800680 in words is "ten billion, eight hundred eighty-six million, eight hundred thousand, six hundred eighty".