20819020838112 has 1152 divisors, whose sum is σ = 76365918720000. Its totient is φ = 5484639734784.

The previous prime is 20819020838107. The next prime is 20819020838123. The reversal of 20819020838112 is 21183802091802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4888239439 + ... + 4888243697.

It is an arithmetic number, because the mean of its divisors is an integer number (66289860000).

Almost surely, 2^{20819020838112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20819020838112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38182959360000).

20819020838112 is an abundant number, since it is smaller than the sum of its proper divisors (55546897881888).

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

20819020838112 is a wasteful number, since it uses less digits than its factorization.

20819020838112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4473 (or 4452 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 20819020838112 in words is "twenty trillion, eight hundred nineteen billion, twenty million, eight hundred thirty-eight thousand, one hundred twelve".