12817685088 has 288 divisors, whose sum is σ = 41845579776. Its totient is φ = 3690998784.

The previous prime is 12817685081. The next prime is 12817685099. The reversal of 12817685088 is 88058671821.

12817685088 is a `hidden beast` number, since 128 + 1 + 7 + 6 + 8 + 508 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12817685081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4045681 + ... + 4048847.

It is an arithmetic number, because the mean of its divisors is an integer number (145297152).

Almost surely, 2^12817685088 is an apocalyptic number.

12817685088 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 12817685088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20922789888).

12817685088 is an abundant number, since it is smaller than the sum of its proper divisors (29027894688).

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

12817685088 is a wasteful number, since it uses less digits than its factorization.

12817685088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3266 (or 3255 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 54.

The spelling of 12817685088 in words is "twelve billion, eight hundred seventeen million, six hundred eighty-five thousand, eighty-eight".