10082198671840 has 192 divisors, whose sum is σ = 25678461473280. Its totient is φ = 3729293568000.

The previous prime is 10082198671781. The next prime is 10082198671847. The reversal of 10082198671840 is 4817689128001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10082198671847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24085125 + ... + 24500155.

It is an arithmetic number, because the mean of its divisors is an integer number (133741986840).

Almost surely, 2^{10082198671840} is an apocalyptic number.

10082198671840 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 10082198671840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12839230736640).

10082198671840 is an abundant number, since it is smaller than the sum of its proper divisors (15596262801440).

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

10082198671840 is a wasteful number, since it uses less digits than its factorization.

10082198671840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415257 (or 415249 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 55.

The spelling of 10082198671840 in words is "ten trillion, eighty-two billion, one hundred ninety-eight million, six hundred seventy-one thousand, eight hundred forty".