10138912752 has 80 divisors (see below), whose sum is σ = 26882565120. Its totient is φ = 3291695616.

The previous prime is 10138912747. The next prime is 10138912757. The reversal of 10138912752 is 25721983101.

It is a happy number.

10138912752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10138912747) and next prime (10138912757).

It is a self number, because there is not a number n which added to its sum of digits gives 10138912752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10138912757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268513 + ... + 303935.

It is an arithmetic number, because the mean of its divisors is an integer number (336032064).

Almost surely, 2^10138912752 is an apocalyptic number.

10138912752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10138912752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13441282560).

10138912752 is an abundant number, since it is smaller than the sum of its proper divisors (16743652368).

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

10138912752 is a wasteful number, since it uses less digits than its factorization.

10138912752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35590 (or 35584 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The spelling of 10138912752 in words is "ten billion, one hundred thirty-eight million, nine hundred twelve thousand, seven hundred fifty-two".