12690479185920 has 816 divisors, whose sum is σ = 45811919142912. Its totient is φ = 3246202552320.

The previous prime is 12690479185919. The next prime is 12690479185933. The reversal of 12690479185920 is 2958197409621.

12690479185920 is a `hidden beast` number, since 1 + 2 + 6 + 90 + 479 + 1 + 8 + 59 + 20 = 666.

It is a super-2 number, since 2×12690479185920² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11610684894 + ... + 11610685986.

Almost surely, 2^{12690479185920} is an apocalyptic number.

12690479185920 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 12690479185920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22905959571456).

12690479185920 is an abundant number, since it is smaller than the sum of its proper divisors (33121439956992).

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

12690479185920 is a wasteful number, since it uses less digits than its factorization.

12690479185920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 12690479185920 in words is "twelve trillion, six hundred ninety billion, four hundred seventy-nine million, one hundred eighty-five thousand, nine hundred twenty".