20963284144920 has 384 divisors, whose sum is σ = 75368481027840. Its totient is φ = 5019797422080.

The previous prime is 20963284144897. The next prime is 20963284144921. The reversal of 20963284144920 is 2944148236902.

20963284144920 is a `hidden beast` number, since 2 + 0 + 9 + 63 + 2 + 84 + 14 + 492 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20963284144921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1559645400 + ... + 1559658840.

It is an arithmetic number, because the mean of its divisors is an integer number (196272086010).

Almost surely, 2^{20963284144920} is an apocalyptic number.

20963284144920 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 20963284144920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37684240513920).

20963284144920 is an abundant number, since it is smaller than the sum of its proper divisors (54405196882920).

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

20963284144920 is a wasteful number, since it uses less digits than its factorization.

20963284144920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22515 (or 22508 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 20963284144920 in words is "twenty trillion, nine hundred sixty-three billion, two hundred eighty-four million, one hundred forty-four thousand, nine hundred twenty".