20869871904000 has 1728 divisors, whose sum is σ = 89823529635840. Its totient is φ = 4552895692800.

The previous prime is 20869871903957. The next prime is 20869871904001. The reversal of 20869871904000 is 40917896802.

20869871904000 is a `hidden beast` number, since 2 + 0 + 86 + 9 + 8 + 71 + 90 + 400 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20869871904001) 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 191 ways as a sum of consecutive naturals, for example, 3953373361 + ... + 3953378639.

It is an arithmetic number, because the mean of its divisors is an integer number (51981209280).

Almost surely, 2^{20869871904000} is an apocalyptic number.

20869871904000 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 20869871904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44911764817920).

20869871904000 is an abundant number, since it is smaller than the sum of its proper divisors (68953657731840).

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

20869871904000 is a wasteful number, since it uses less digits than its factorization.

20869871904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5413 (or 5386 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 20869871904000 in words is "twenty trillion, eight hundred sixty-nine billion, eight hundred seventy-one million, nine hundred four thousand".