10138605522372 has 120 divisors (see below), whose sum is σ = 26800430809152. Its totient is φ = 3341873246400.

The previous prime is 10138605522293. The next prime is 10138605522401. The reversal of 10138605522372 is 27322550683101.

10138605522372 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 8 + 6 + 0 + 552 + 23 + 72 = 666.

10138605522372 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22840222 + ... + 23279882.

Almost surely, 2^{10138605522372} is an apocalyptic number.

10138605522372 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 10138605522372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13400215404576).

10138605522372 is an abundant number, since it is smaller than the sum of its proper divisors (16661825286780).

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

10138605522372 is a wasteful number, since it uses less digits than its factorization.

10138605522372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440471 (or 440460 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 10138605522372 in words is "ten trillion, one hundred thirty-eight billion, six hundred five million, five hundred twenty-two thousand, three hundred seventy-two".