10010009982 has 96 divisors (see below), whose sum is σ = 24171246720. Its totient is φ = 2752263360.

The previous prime is 10010009981. The next prime is 10010009987. The reversal of 10010009982 is 28990001001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010009981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2820333 + ... + 2823879.

It is an arithmetic number, because the mean of its divisors is an integer number (251783820).

Almost surely, 2^10010009982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010009982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12085623360).

10010009982 is an abundant number, since it is smaller than the sum of its proper divisors (14161236738).

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

10010009982 is a wasteful number, since it uses less digits than its factorization.

10010009982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3926 (or 3919 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The spelling of 10010009982 in words is "ten billion, ten million, nine thousand, nine hundred eighty-two".