9980104135680 has 2112 divisors, whose sum is σ = 43399517990400. Its totient is φ = 2069008220160.

The previous prime is 9980104135657. The next prime is 9980104135693. The reversal of 9980104135680 is 865314010899.

9980104135680 is a `hidden beast` number, since 9 + 98 + 0 + 10 + 413 + 56 + 80 = 666.

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, 41411220360 + ... + 41411220600.

It is an arithmetic number, because the mean of its divisors is an integer number (20549014200).

Almost surely, 2^{9980104135680} is an apocalyptic number.

9980104135680 is a gapful number since it is divisible by the number (90) 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 9980104135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21699758995200).

9980104135680 is an abundant number, since it is smaller than the sum of its proper divisors (33419413854720).

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

9980104135680 is a wasteful number, since it uses less digits than its factorization.

9980104135680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 9980104135680 in words is "nine trillion, nine hundred eighty billion, one hundred four million, one hundred thirty-five thousand, six hundred eighty".