10082038804992 has 2880 divisors, whose sum is σ = 40931702203392. Its totient is φ = 2327917363200.

The previous prime is 10082038804991. The next prime is 10082038804997. The reversal of 10082038804992 is 29940883028001.

It is not an unprimeable number, because it can be changed into a prime (10082038804991) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 165279324642 + ... + 165279324702.

Almost surely, 2^{10082038804992} is an apocalyptic number.

10082038804992 is a gapful number since it is divisible by the number (12) 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 10082038804992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20465851101696).

10082038804992 is an abundant number, since it is smaller than the sum of its proper divisors (30849663398400).

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

10082038804992 is a wasteful number, since it uses less digits than its factorization.

10082038804992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 10082038804992 in words is "ten trillion, eighty-two billion, thirty-eight million, eight hundred four thousand, nine hundred ninety-two".