10085380901632 has 144 divisors (see below), whose sum is σ = 21473696274912. Its totient is φ = 4710927237120.

The previous prime is 10085380901621. The next prime is 10085380901671. The reversal of 10085380901632 is 23610908358001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 582389038 + ... + 582406354.

It is an arithmetic number, because the mean of its divisors is an integer number (149122890798).

Almost surely, 2^{10085380901632} 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 10085380901632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10736848137456).

10085380901632 is an abundant number, since it is smaller than the sum of its proper divisors (11388315373280).

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

10085380901632 is a wasteful number, since it uses less digits than its factorization.

10085380901632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18334 (or 18320 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The spelling of 10085380901632 in words is "ten trillion, eighty-five billion, three hundred eighty million, nine hundred one thousand, six hundred thirty-two".