16822408900 has 108 divisors (see below), whose sum is σ = 40932286416. Its totient is φ = 5951376000.

The previous prime is 16822408859. The next prime is 16822408901. The reversal of 16822408900 is 980422861.

It is not an unprimeable number, because it can be changed into a prime (16822408901) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1500315 + ... + 1511485.

It is an arithmetic number, because the mean of its divisors is an integer number (379002652).

Almost surely, 2^16822408900 is an apocalyptic number.

16822408900 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 16822408900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20466143208).

16822408900 is an abundant number, since it is smaller than the sum of its proper divisors (24109877516).

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

16822408900 is a wasteful number, since it uses less digits than its factorization.

16822408900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11270 (or 11226 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 16822408900 in words is "sixteen billion, eight hundred twenty-two million, four hundred eight thousand, nine hundred".