12538103760 has 480 divisors, whose sum is σ = 53504575488. Its totient is φ = 2559651840.

The previous prime is 12538103749. The next prime is 12538103761. The reversal of 12538103760 is 6730183521.

12538103760 is a `hidden beast` number, since 12 + 538 + 103 + 7 + 6 + 0 = 666.

12538103760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12538103760² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12538103761) 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 95 ways as a sum of consecutive naturals, for example, 2028034 + ... + 2034206.

Almost surely, 2^12538103760 is an apocalyptic number.

12538103760 is a gapful number since it is divisible by the number (10) 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 12538103760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26752287744).

12538103760 is an abundant number, since it is smaller than the sum of its proper divisors (40966471728).

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

12538103760 is a wasteful number, since it uses less digits than its factorization.

12538103760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6243 (or 6234 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 12538103760 in words is "twelve billion, five hundred thirty-eight million, one hundred three thousand, seven hundred sixty".