20577766272 has 256 divisors, whose sum is σ = 65994424320. Its totient is φ = 5556418560.

The previous prime is 20577766271. The next prime is 20577766333. The reversal of 20577766272 is 27266777502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20577766271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3580233 + ... + 3585975.

It is an arithmetic number, because the mean of its divisors is an integer number (257790720).

Almost surely, 2^20577766272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20577766272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32997212160).

20577766272 is an abundant number, since it is smaller than the sum of its proper divisors (45416658048).

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

20577766272 is a wasteful number, since it uses less digits than its factorization.

20577766272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5841 (or 5829 counting only the distinct ones).

The product of its (nonzero) digits is 3457440, while the sum is 51.

The spelling of 20577766272 in words is "twenty billion, five hundred seventy-seven million, seven hundred sixty-six thousand, two hundred seventy-two".