20884827969000 has 1024 divisors, whose sum is σ = 75083194368000. Its totient is φ = 5367772800000.

The previous prime is 20884827968959. The next prime is 20884827969011. The reversal of 20884827969000 is 96972848802.

20884827969000 is a `hidden beast` number, since 2 + 0 + 88 + 482 + 79 + 6 + 9 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×20884827969000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 19647062469 + ... + 19647063531.

It is an arithmetic number, because the mean of its divisors is an integer number (73323432000).

Almost surely, 2^{20884827969000} is an apocalyptic number.

20884827969000 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 20884827969000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37541597184000).

20884827969000 is an abundant number, since it is smaller than the sum of its proper divisors (54198366399000).

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

20884827969000 is a wasteful number, since it uses less digits than its factorization.

20884827969000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 20884827969000 in words is "twenty trillion, eight hundred eighty-four billion, eight hundred twenty-seven million, nine hundred sixty-nine thousand".