10138066288 has 120 divisors (see below), whose sum is σ = 23624224560. Its totient is φ = 4200053760.

The previous prime is 10138066283. The next prime is 10138066319. The reversal of 10138066288 is 88266083101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10138066283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2819820 + ... + 2823412.

It is an arithmetic number, because the mean of its divisors is an integer number (196868538).

Almost surely, 2^10138066288 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 10138066288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11812112280).

10138066288 is an abundant number, since it is smaller than the sum of its proper divisors (13486158272).

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

10138066288 is a wasteful number, since it uses less digits than its factorization.

10138066288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3735 (or 3722 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The spelling of 10138066288 in words is "ten billion, one hundred thirty-eight million, sixty-six thousand, two hundred eighty-eight".