20288766849912 has 128 divisors (see below), whose sum is σ = 61493234227200. Its totient is φ = 6146898912000.

The previous prime is 20288766849863. The next prime is 20288766849931. The reversal of 20288766849912 is 21994866788202.

20288766849912 is a `hidden beast` number, since 2 + 0 + 2 + 8 + 8 + 76 + 68 + 499 + 1 + 2 = 666.

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 31 ways as a sum of consecutive naturals, for example, 11247412 + ... + 12926012.

It is an arithmetic number, because the mean of its divisors is an integer number (480415892400).

Almost surely, 2^{20288766849912} is an apocalyptic number.

20288766849912 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 20288766849912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30746617113600).

20288766849912 is an abundant number, since it is smaller than the sum of its proper divisors (41204467377288).

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

20288766849912 is a wasteful number, since it uses less digits than its factorization.

20288766849912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683714 (or 1683704 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

It can be divided in two parts, 2028876 and 6849912, that added together give a palindrome (8878788).

The spelling of 20288766849912 in words is "twenty trillion, two hundred eighty-eight billion, seven hundred sixty-six million, eight hundred forty-nine thousand, nine hundred twelve".