20980871090928 has 1080 divisors, whose sum is σ = 72679260841200. Its totient is φ = 5848181047296.

The previous prime is 20980871090897. The next prime is 20980871090929. The reversal of 20980871090928 is 82909017808902.

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 (20980871090929) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 77995803178 + ... + 77995803446.

It is an arithmetic number, because the mean of its divisors is an integer number (67295611890).

Almost surely, 2^{20980871090928} is an apocalyptic number.

20980871090928 is a gapful number since it is divisible by the number (28) 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 20980871090928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36339630420600).

20980871090928 is an abundant number, since it is smaller than the sum of its proper divisors (51698389750272).

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

20980871090928 is an equidigital number, since it uses as much as digits as its factorization.

20980871090928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 63.

The spelling of 20980871090928 in words is "twenty trillion, nine hundred eighty billion, eight hundred seventy-one million, ninety thousand, nine hundred twenty-eight".