10000809984 has 240 divisors, whose sum is σ = 29726222400. Its totient is φ = 2964848640.

The previous prime is 10000809971. The next prime is 10000809989. The reversal of 10000809984 is 48990800001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000809989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28655442 + ... + 28655790.

It is an arithmetic number, because the mean of its divisors is an integer number (123859260).

Almost surely, 2^10000809984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000809984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14863111200).

10000809984 is an abundant number, since it is smaller than the sum of its proper divisors (19725412416).

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

10000809984 is an equidigital number, since it uses as much as digits as its factorization.

10000809984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The spelling of 10000809984 in words is "ten billion, eight hundred nine thousand, nine hundred eighty-four".