12690502557440 has 288 divisors, whose sum is σ = 32421002084352. Its totient is φ = 4751824896000.

The previous prime is 12690502557419. The next prime is 12690502557527. The reversal of 12690502557440 is 4475520509621.

12690502557440 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 2×12690502557440² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149273345 + ... + 149358335.

It is an arithmetic number, because the mean of its divisors is an integer number (112572923904).

Almost surely, 2^{12690502557440} is an apocalyptic number.

12690502557440 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 12690502557440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16210501042176).

12690502557440 is an abundant number, since it is smaller than the sum of its proper divisors (19730499526912).

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

12690502557440 is an equidigital number, since it uses as much as digits as its factorization.

12690502557440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85167 (or 85153 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 50.

The spelling of 12690502557440 in words is "twelve trillion, six hundred ninety billion, five hundred two million, five hundred fifty-seven thousand, four hundred forty".