20584878912 has 336 divisors, whose sum is σ = 66568320000. Its totient is φ = 6038323200.

The previous prime is 20584878911. The next prime is 20584878913. The reversal of 20584878912 is 21987848502.

20584878912 is a `hidden beast` number, since 20 + 58 + 487 + 8 + 91 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (20584878911) and next prime (20584878913).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20584878911) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16480464 + ... + 16481712.

It is an arithmetic number, because the mean of its divisors is an integer number (198120000).

Almost surely, 2^20584878912 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 20584878912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33284160000).

20584878912 is an abundant number, since it is smaller than the sum of its proper divisors (45983441088).

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

20584878912 is a wasteful number, since it uses less digits than its factorization.

20584878912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 20584878912 in words is "twenty billion, five hundred eighty-four million, eight hundred seventy-eight thousand, nine hundred twelve".