10084375244128 has 72 divisors (see below), whose sum is σ = 20413367626680. Its totient is φ = 4901008550400.

The previous prime is 10084375244089. The next prime is 10084375244131. The reversal of 10084375244128 is 82144257348001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96302263 + ... + 96406921.

It is an arithmetic number, because the mean of its divisors is an integer number (283518994815).

Almost surely, 2^{10084375244128} 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 10084375244128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10206683813340).

10084375244128 is an abundant number, since it is smaller than the sum of its proper divisors (10328992382552).

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

10084375244128 is an equidigital number, since it uses as much as digits as its factorization.

10084375244128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105252 (or 104973 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 49.

The spelling of 10084375244128 in words is "ten trillion, eighty-four billion, three hundred seventy-five million, two hundred forty-four thousand, one hundred twenty-eight".