10991324160 has 440 divisors, whose sum is σ = 41730305760. Its totient is φ = 2756837376.

The previous prime is 10991324089. The next prime is 10991324171. The reversal of 10991324160 is 6142319901.

It is a happy number.

10991324160 is a `hidden beast` number, since 109 + 9 + 132 + 416 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7049461 + ... + 7051019.

It is an arithmetic number, because the mean of its divisors is an integer number (94841604).

Almost surely, 2^10991324160 is an apocalyptic number.

10991324160 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 10991324160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20865152880).

10991324160 is an abundant number, since it is smaller than the sum of its proper divisors (30738981600).

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

10991324160 is a wasteful number, since it uses less digits than its factorization.

10991324160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 10991324160 in words is "ten billion, nine hundred ninety-one million, three hundred twenty-four thousand, one hundred sixty".