20946866586272 has 144 divisors (see below), whose sum is σ = 45270890788032. Its totient is φ = 9461815587840.

The previous prime is 20946866586229. The next prime is 20946866586299. The reversal of 20946866586272 is 27268566864902.

It is a junction number, because it is equal to n+sod(n) for n = 20946866586196 and 20946866586205.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14617491668 + ... + 14617493100.

It is an arithmetic number, because the mean of its divisors is an integer number (314381186028).

Almost surely, 2^{20946866586272} is an apocalyptic number.

20946866586272 is a gapful number since it is divisible by the number (22) 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 20946866586272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22635445394016).

20946866586272 is an abundant number, since it is smaller than the sum of its proper divisors (24324024201760).

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

20946866586272 is a wasteful number, since it uses less digits than its factorization.

20946866586272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2659 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 71.

The spelling of 20946866586272 in words is "twenty trillion, nine hundred forty-six billion, eight hundred sixty-six million, five hundred eighty-six thousand, two hundred seventy-two".