16220820096 has 480 divisors, whose sum is σ = 55387484100. Its totient is φ = 4535451648.

The previous prime is 16220820089. The next prime is 16220820097. The reversal of 16220820096 is 69002802261.

It is a happy number.

16220820096 is a `hidden beast` number, since 1 + 622 + 0 + 8 + 20 + 0 + 9 + 6 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 5496146496 + 10724673600 = 74136^2 + 103560^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 16220820096.

It is not an unprimeable number, because it can be changed into a prime (16220820097) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 559338610 + ... + 559338638.

Almost surely, 2^16220820096 is an apocalyptic number.

16220820096 is a gapful number since it is divisible by the number (16) 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 16220820096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27693742050).

16220820096 is an abundant number, since it is smaller than the sum of its proper divisors (39166664004).

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

16220820096 is an equidigital number, since it uses as much as digits as its factorization.

16220820096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 16220820096 in words is "sixteen billion, two hundred twenty million, eight hundred twenty thousand, ninety-six".