11822090880 has 256 divisors, whose sum is σ = 39111206400. Its totient is φ = 3035136000.

The previous prime is 11822090851. The next prime is 11822090893. The reversal of 11822090880 is 8809022811.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6217930 + ... + 6219830.

It is an arithmetic number, because the mean of its divisors is an integer number (152778150).

Almost surely, 2^11822090880 is an apocalyptic number.

11822090880 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 11822090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19555603200).

11822090880 is an abundant number, since it is smaller than the sum of its proper divisors (27289115520).

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

11822090880 is a wasteful number, since it uses less digits than its factorization.

11822090880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2043 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The spelling of 11822090880 in words is "eleven billion, eight hundred twenty-two million, ninety thousand, eight hundred eighty".