20789900947200 has 1944 divisors, whose sum is σ = 88300231808880. Its totient is φ = 4291854336000.

The previous prime is 20789900947199. The next prime is 20789900947213. The reversal of 20789900947200 is 274900998702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 20604460296 + ... + 20604461304.

Almost surely, 2^{20789900947200} is an apocalyptic number.

20789900947200 is a gapful number since it is divisible by the number (20) 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 20789900947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44150115904440).

20789900947200 is an abundant number, since it is smaller than the sum of its proper divisors (67510330861680).

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

20789900947200 is a wasteful number, since it uses less digits than its factorization.

20789900947200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 57.

The spelling of 20789900947200 in words is "twenty trillion, seven hundred eighty-nine billion, nine hundred million, nine hundred forty-seven thousand, two hundred".