12906538653888 has 448 divisors, whose sum is σ = 42647434583040. Its totient is φ = 3793145241600.

The previous prime is 12906538653857. The next prime is 12906538653907. The reversal of 12906538653888 is 88835683560921.

12906538653888 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 6 + 5 + 3 + 8 + 6 + 538 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 220102333 + ... + 220160963.

It is an arithmetic number, because the mean of its divisors is an integer number (95195166480).

Almost surely, 2^{12906538653888} is an apocalyptic number.

12906538653888 is a gapful number since it is divisible by the number (18) 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 12906538653888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21323717291520).

12906538653888 is an abundant number, since it is smaller than the sum of its proper divisors (29740895929152).

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

12906538653888 is a wasteful number, since it uses less digits than its factorization.

12906538653888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59013 (or 58997 counting only the distinct ones).

The product of its (nonzero) digits is 597196800, while the sum is 72.

The spelling of 12906538653888 in words is "twelve trillion, nine hundred six billion, five hundred thirty-eight million, six hundred fifty-three thousand, eight hundred eighty-eight".