20882120404992 has 416 divisors, whose sum is σ = 70368957012480. Its totient is φ = 5349609308160.

The previous prime is 20882120404987. The next prime is 20882120404993. The reversal of 20882120404992 is 29940402128802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20882120404993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68919684 + ... + 69222012.

Almost surely, 2^{20882120404992} is an apocalyptic number.

20882120404992 is a gapful number since it is divisible by the number (22) 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 20882120404992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35184478506240).

20882120404992 is an abundant number, since it is smaller than the sum of its proper divisors (49486836607488).

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

20882120404992 is a wasteful number, since it uses less digits than its factorization.

20882120404992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302447 (or 302425 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 20882120404992 in words is "twenty trillion, eight hundred eighty-two billion, one hundred twenty million, four hundred four thousand, nine hundred ninety-two".