10084982000 has 320 divisors, whose sum is σ = 26741145600. Its totient is φ = 3669120000.

The previous prime is 10084981993. The next prime is 10084982003. The reversal of 10084982000 is 28948001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10084982003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127657961 + ... + 127658039.

It is an arithmetic number, because the mean of its divisors is an integer number (83566080).

Almost surely, 2^10084982000 is an apocalyptic number.

10084982000 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 10084982000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13370572800).

10084982000 is an abundant number, since it is smaller than the sum of its proper divisors (16656163600).

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

10084982000 is a wasteful number, since it uses less digits than its factorization.

10084982000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The spelling of 10084982000 in words is "ten billion, eighty-four million, nine hundred eighty-two thousand".