12736217088 has 360 divisors, whose sum is σ = 43701216832. Its totient is φ = 3630956544.

The previous prime is 12736217057. The next prime is 12736217089. The reversal of 12736217088 is 88071263721.

12736217088 is a `hidden beast` number, since 12 + 7 + 3 + 621 + 7 + 0 + 8 + 8 = 666.

It is a super-2 number, since 2×12736217088² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12736217089) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27868956 + ... + 27869412.

Almost surely, 2^12736217088 is an apocalyptic number.

12736217088 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 12736217088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21850608416).

12736217088 is an abundant number, since it is smaller than the sum of its proper divisors (30964999744).

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

12736217088 is an frugal number, since it uses more digits than its factorization.

12736217088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 12736217088 in words is "twelve billion, seven hundred thirty-six million, two hundred seventeen thousand, eighty-eight".