12438785767590 has 320 divisors, whose sum is σ = 41171283901440. Its totient is φ = 2624042615040.

The previous prime is 12438785767579. The next prime is 12438785767591. The reversal of 12438785767590 is 9576758783421.

12438785767590 is a `hidden beast` number, since 1 + 2 + 43 + 8 + 7 + 8 + 576 + 7 + 5 + 9 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12438785767591) 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 159 ways as a sum of consecutive naturals, for example, 913333801 + ... + 913347419.

It is an arithmetic number, because the mean of its divisors is an integer number (128660262192).

It is a 1-persistent number, because it is pandigital, but 2⋅12438785767590 = 24877571535180 is not.

Almost surely, 2^{12438785767590} is an apocalyptic number.

12438785767590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12438785767590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20585641950720).

12438785767590 is an abundant number, since it is smaller than the sum of its proper divisors (28732498133850).

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

12438785767590 is a wasteful number, since it uses less digits than its factorization.

12438785767590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26049 (or 26040 counting only the distinct ones).

The product of its (nonzero) digits is 711244800, while the sum is 72.

The spelling of 12438785767590 in words is "twelve trillion, four hundred thirty-eight billion, seven hundred eighty-five million, seven hundred sixty-seven thousand, five hundred ninety".