10084881024 has 448 divisors, whose sum is σ = 32536074240. Its totient is φ = 3103930368.

The previous prime is 10084881019. The next prime is 10084881043. The reversal of 10084881024 is 42018848001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10084881024.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 79408449 + ... + 79408575.

Almost surely, 2^10084881024 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 10084881024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16268037120).

10084881024 is an abundant number, since it is smaller than the sum of its proper divisors (22451193216).

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

10084881024 is an equidigital number, since it uses as much as digits as its factorization.

10084881024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 10084881024 in words is "ten billion, eighty-four million, eight hundred eighty-one thousand, twenty-four".