10991376880 has 320 divisors, whose sum is σ = 30601612800. Its totient is φ = 3627970560.

The previous prime is 10991376817. The next prime is 10991376881. The reversal of 10991376880 is 8867319901.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10991376881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67431679 + ... + 67431841.

It is an arithmetic number, because the mean of its divisors is an integer number (95630040).

Almost surely, 2^10991376880 is an apocalyptic number.

10991376880 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 10991376880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15300806400).

10991376880 is an abundant number, since it is smaller than the sum of its proper divisors (19610235920).

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

10991376880 is a wasteful number, since it uses less digits than its factorization.

10991376880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 52.

The spelling of 10991376880 in words is "ten billion, nine hundred ninety-one million, three hundred seventy-six thousand, eight hundred eighty".