10010009984 has 64 divisors (see below), whose sum is σ = 21497797440. Its totient is φ = 4615274496.

The previous prime is 10010009981. The next prime is 10010009987. The reversal of 10010009984 is 48990001001.

It is an interprime number because it is at equal distance from previous prime (10010009981) and next prime (10010009987).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 10010009984.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2022617 + ... + 2027559.

It is an arithmetic number, because the mean of its divisors is an integer number (335903085).

Almost surely, 2^10010009984 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 10010009984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10748898720).

10010009984 is an abundant number, since it is smaller than the sum of its proper divisors (11487787456).

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

10010009984 is a wasteful number, since it uses less digits than its factorization.

10010009984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6187 (or 6175 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 32.

The spelling of 10010009984 in words is "ten billion, ten million, nine thousand, nine hundred eighty-four".