20584752804 has 864 divisors, whose sum is σ = 75805148160. Its totient is φ = 4790016000.

The previous prime is 20584752757. The next prime is 20584752823. The reversal of 20584752804 is 40825748502.

It is a self number, because there is not a number n which added to its sum of digits gives 20584752804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 337454934 + ... + 337454994.

It is an arithmetic number, because the mean of its divisors is an integer number (87737440).

Almost surely, 2^20584752804 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 20584752804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37902574080).

20584752804 is an abundant number, since it is smaller than the sum of its proper divisors (55220395356).

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

20584752804 is a wasteful number, since it uses less digits than its factorization.

20584752804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 20584752804 in words is "twenty billion, five hundred eighty-four million, seven hundred fifty-two thousand, eight hundred four".