20098248958080 has 1536 divisors, whose sum is σ = 76462056000000. Its totient is φ = 4982842884096.

The previous prime is 20098248958063. The next prime is 20098248958091. The reversal of 20098248958080 is 8085984289002.

20098248958080 is a `hidden beast` number, since 2 + 0 + 0 + 9 + 8 + 2 + 48 + 9 + 580 + 8 + 0 = 666.

It is a super-2 number, since 2×20098248958080² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20098248957999 and 20098248958017.

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, 100996225821 + ... + 100996226019.

It is an arithmetic number, because the mean of its divisors is an integer number (49779984375).

Almost surely, 2^{20098248958080} is an apocalyptic number.

20098248958080 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 20098248958080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38231028000000).

20098248958080 is an abundant number, since it is smaller than the sum of its proper divisors (56363807041920).

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

20098248958080 is a wasteful number, since it uses less digits than its factorization.

20098248958080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 20098248958080 in words is "twenty trillion, ninety-eight billion, two hundred forty-eight million, nine hundred fifty-eight thousand, eighty".