9802738905960 has 512 divisors, whose sum is σ = 40291001856000. Its totient is φ = 1880244495360.

The previous prime is 9802738905943. The next prime is 9802738905979. The reversal of 9802738905960 is 695098372089.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 9802738905891 and 9802738905900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5053147 + ... + 6718613.

It is an arithmetic number, because the mean of its divisors is an integer number (78693363000).

Almost surely, 2^{9802738905960} 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 9802738905960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20145500928000).

9802738905960 is an abundant number, since it is smaller than the sum of its proper divisors (30488262950040).

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

9802738905960 is a wasteful number, since it uses less digits than its factorization.

9802738905960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665526 (or 1665508 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 66.

The spelling of 9802738905960 in words is "nine trillion, eight hundred two billion, seven hundred thirty-eight million, nine hundred five thousand, nine hundred sixty".