20582671200 has 576 divisors, whose sum is σ = 83651645952. Its totient is φ = 4279910400.

The previous prime is 20582671163. The next prime is 20582671201. The reversal of 20582671200 is 217628502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20582671201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15942555 + ... + 15943845.

It is an arithmetic number, because the mean of its divisors is an integer number (145228552).

Almost surely, 2^20582671200 is an apocalyptic number.

20582671200 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 20582671200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41825822976).

20582671200 is an abundant number, since it is smaller than the sum of its proper divisors (63068974752).

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

20582671200 is a wasteful number, since it uses less digits than its factorization.

20582671200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 20582671200 in words is "twenty billion, five hundred eighty-two million, six hundred seventy-one thousand, two hundred".