20772259776 has 336 divisors, whose sum is σ = 63373040640. Its totient is φ = 6496174080.

The previous prime is 20772259733. The next prime is 20772259847. The reversal of 20772259776 is 67795227702.

20772259776 is a `hidden beast` number, since 20 + 7 + 7 + 22 + 597 + 7 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116046055 + ... + 116046233.

It is an arithmetic number, because the mean of its divisors is an integer number (188610240).

Almost surely, 2^20772259776 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 20772259776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31686520320).

20772259776 is an abundant number, since it is smaller than the sum of its proper divisors (42600780864).

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

20772259776 is a wasteful number, since it uses less digits than its factorization.

20772259776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 5186160, while the sum is 54.

The spelling of 20772259776 in words is "twenty billion, seven hundred seventy-two million, two hundred fifty-nine thousand, seven hundred seventy-six".