12138577637760 has 1152 divisors, whose sum is σ = 51254572824000. Its totient is φ = 2634335649792.

The previous prime is 12138577637717. The next prime is 12138577637761. The reversal of 12138577637760 is 6773677583121.

12138577637760 is a `hidden beast` number, since 1 + 2 + 1 + 385 + 77 + 63 + 77 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12138577637761) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 889331416 + ... + 889345064.

Almost surely, 2^{12138577637760} is an apocalyptic number.

12138577637760 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 12138577637760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25627286412000).

12138577637760 is an abundant number, since it is smaller than the sum of its proper divisors (39115995186240).

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

12138577637760 is a wasteful number, since it uses less digits than its factorization.

12138577637760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13848 (or 13826 counting only the distinct ones).

The product of its (nonzero) digits is 62233920, while the sum is 63.

The spelling of 12138577637760 in words is "twelve trillion, one hundred thirty-eight billion, five hundred seventy-seven million, six hundred thirty-seven thousand, seven hundred sixty".