10038829162304 has 56 divisors (see below), whose sum is σ = 20569914021888. Its totient is φ = 4855961157120.

The previous prime is 10038829162183. The next prime is 10038829162361. The reversal of 10038829162304 is 40326192883001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5484482 + ... + 7082174.

It is an arithmetic number, because the mean of its divisors is an integer number (367319893248).

Almost surely, 2^{10038829162304} 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 10038829162304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10284957010944).

10038829162304 is an abundant number, since it is smaller than the sum of its proper divisors (10531084859584).

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

10038829162304 is a wasteful number, since it uses less digits than its factorization.

10038829162304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600903 (or 1600893 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 47.

The spelling of 10038829162304 in words is "ten trillion, thirty-eight billion, eight hundred twenty-nine million, one hundred sixty-two thousand, three hundred four".