10198882980 has 432 divisors, whose sum is σ = 37840944960. Its totient is φ = 2201472000.

The previous prime is 10198882973. The next prime is 10198883021. The reversal of 10198882980 is 8928889101.

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 143 ways as a sum of consecutive naturals, for example, 9703455 + ... + 9704505.

It is an arithmetic number, because the mean of its divisors is an integer number (87594780).

Almost surely, 2^10198882980 is an apocalyptic number.

10198882980 is a gapful number since it is divisible by the number (10) 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 10198882980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18920472480).

10198882980 is an abundant number, since it is smaller than the sum of its proper divisors (27642061980).

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

10198882980 is a wasteful number, since it uses less digits than its factorization.

10198882980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 54.

The spelling of 10198882980 in words is "ten billion, one hundred ninety-eight million, eight hundred eighty-two thousand, nine hundred eighty".