20111090880 has 112 divisors (see below), whose sum is σ = 63894065760. Its totient is φ = 5359484928.

The previous prime is 20111090861. The next prime is 20111090887. The reversal of 20111090880 is 8809011102.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (20111090887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1700026 + ... + 1711814.

It is an arithmetic number, because the mean of its divisors is an integer number (570482730).

Almost surely, 2^20111090880 is an apocalyptic number.

20111090880 is a gapful number since it is divisible by the number (20) 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 20111090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31947032880).

20111090880 is an abundant number, since it is smaller than the sum of its proper divisors (43782974880).

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

20111090880 is a wasteful number, since it uses less digits than its factorization.

20111090880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13586 (or 13576 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 30.

The spelling of 20111090880 in words is "twenty billion, one hundred eleven million, ninety thousand, eight hundred eighty".