20213856000 has 432 divisors, whose sum is σ = 78344884800. Its totient is φ = 4974796800.

The previous prime is 20213855971. The next prime is 20213856007. The reversal of 20213856000 is 65831202.

20213856000 is a `hidden beast` number, since 2 + 0 + 21 + 38 + 5 + 600 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20213856007) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3741301 + ... + 3746699.

It is an arithmetic number, because the mean of its divisors is an integer number (181353900).

Almost surely, 2^20213856000 is an apocalyptic number.

20213856000 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 20213856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39172442400).

20213856000 is an abundant number, since it is smaller than the sum of its proper divisors (58131028800).

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

20213856000 is a wasteful number, since it uses less digits than its factorization.

20213856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5449 (or 5422 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 20213856000 in words is "twenty billion, two hundred thirteen million, eight hundred fifty-six thousand".