20998128033792 has 1792 divisors, whose sum is σ = 80296223293440. Its totient is φ = 5274442137600.

The previous prime is 20998128033703. The next prime is 20998128033793. The reversal of 20998128033792 is 29733082189902.

20998128033792 is a `hidden beast` number, since 2 + 0 + 9 + 98 + 128 + 0 + 337 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20998128033793) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45549084442 + ... + 45549084902.

It is an arithmetic number, because the mean of its divisors is an integer number (44808160320).

Almost surely, 2^{20998128033792} 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 20998128033792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40148111646720).

20998128033792 is an abundant number, since it is smaller than the sum of its proper divisors (59298095259648).

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

20998128033792 is a wasteful number, since it uses less digits than its factorization.

20998128033792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 20998128033792 in words is "twenty trillion, nine hundred ninety-eight billion, one hundred twenty-eight million, thirty-three thousand, seven hundred ninety-two".