12690866732544 has 2160 divisors, whose sum is σ = 51848503827120. Its totient is φ = 2937411993600.

The previous prime is 12690866732521. The next prime is 12690866732591. The reversal of 12690866732544 is 44523766809621.

12690866732544 is a `hidden beast` number, since 1 + 2 + 6 + 9 + 0 + 86 + 6 + 7 + 3 + 2 + 544 = 666.

It is a super-2 number, since 2×12690866732544² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 31029013812 + ... + 31029014220.

It is an arithmetic number, because the mean of its divisors is an integer number (24003936957).

It is a 1-persistent number, because it is pandigital, but 2⋅12690866732544 = 25381733465088 is not.

Almost surely, 2^{12690866732544} is an apocalyptic number.

12690866732544 is a gapful number since it is divisible by the number (14) 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 12690866732544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25924251913560).

12690866732544 is an abundant number, since it is smaller than the sum of its proper divisors (39157637094576).

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

12690866732544 is a wasteful number, since it uses less digits than its factorization.

12690866732544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 12690866732544 in words is "twelve trillion, six hundred ninety billion, eight hundred sixty-six million, seven hundred thirty-two thousand, five hundred forty-four".