10941194880 has 640 divisors, whose sum is σ = 48732140160. Its totient is φ = 2272665600.

The previous prime is 10941194861. The next prime is 10941194941. The reversal of 10941194880 is 8849114901.

It is a tau number, because it is divible by the number of its divisors (640).

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

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 79 ways as a sum of consecutive naturals, for example, 3990310 + ... + 3993050.

It is an arithmetic number, because the mean of its divisors is an integer number (76143969).

Almost surely, 2^10941194880 is an apocalyptic number.

10941194880 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 10941194880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24366070080).

10941194880 is an abundant number, since it is smaller than the sum of its proper divisors (37790945280).

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

10941194880 is a wasteful number, since it uses less digits than its factorization.

10941194880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2790 (or 2769 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 10941194880 in words is "ten billion, nine hundred forty-one million, one hundred ninety-four thousand, eight hundred eighty".