20906083296000 has 1728 divisors, whose sum is σ = 89277353867520. Its totient is φ = 4596144537600.

The previous prime is 20906083295957. The next prime is 20906083296013. The reversal of 20906083296000 is 69238060902.

20906083296000 is a `hidden beast` number, since 2 + 0 + 9 + 0 + 6 + 0 + 8 + 32 + 9 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 20637791494 + ... + 20637792506.

It is an arithmetic number, because the mean of its divisors is an integer number (51665135340).

Almost surely, 2^{20906083296000} is an apocalyptic number.

20906083296000 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 20906083296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44638676933760).

20906083296000 is an abundant number, since it is smaller than the sum of its proper divisors (68371270571520).

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

20906083296000 is a wasteful number, since it uses less digits than its factorization.

20906083296000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 20906083296000 in words is "twenty trillion, nine hundred six billion, eighty-three million, two hundred ninety-six thousand".