20216791296 has 378 divisors, whose sum is σ = 65618633178. Its totient is φ = 6210846720.

The previous prime is 20216791279. The next prime is 20216791297. The reversal of 20216791296 is 69219761202.

It can be written as a sum of positive squares in 3 ways, for example, as 1106493696 + 19110297600 = 33264^2 + 138240^2 .

It is not an unprimeable number, because it can be changed into a prime (20216791297) by changing a digit.

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 41 ways as a sum of consecutive naturals, for example, 31539136 + ... + 31539776.

Almost surely, 2^20216791296 is an apocalyptic number.

20216791296 is a gapful number since it is divisible by the number (26) 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 20216791296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32809316589).

20216791296 is an abundant number, since it is smaller than the sum of its proper divisors (45401841882).

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

20216791296 is an frugal number, since it uses more digits than its factorization.

20216791296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 20216791296 in words is "twenty billion, two hundred sixteen million, seven hundred ninety-one thousand, two hundred ninety-six".