20772985216896 has 672 divisors, whose sum is σ = 69163814003760. Its totient is φ = 6205944729600.

The previous prime is 20772985216813. The next prime is 20772985216913. The reversal of 20772985216896 is 69861258927702.

20772985216896 is a `hidden beast` number, since 2 + 0 + 7 + 7 + 2 + 9 + 8 + 521 + 6 + 8 + 96 = 666.

It is a super-3 number, since 3×20772985216896³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 801630436 + ... + 801656348.

Almost surely, 2^{20772985216896} 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 20772985216896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34581907001880).

20772985216896 is an abundant number, since it is smaller than the sum of its proper divisors (48390828786864).

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

20772985216896 is an equidigital number, since it uses as much as digits as its factorization.

20772985216896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26038 (or 26000 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 20772985216896 in words is "twenty trillion, seven hundred seventy-two billion, nine hundred eighty-five million, two hundred sixteen thousand, eight hundred ninety-six".