12088685540160 has 504 divisors, whose sum is σ = 43213486807296. Its totient is φ = 3220932418560.

The previous prime is 12088685540153. The next prime is 12088685540297. The reversal of 12088685540160 is 6104558688021.

12088685540160 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 8 + 6 + 85 + 540 + 16 + 0 = 666.

It is a super-2 number, since 2×12088685540160² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12088685540097 and 12088685540106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4331308365 + ... + 4331311155.

Almost surely, 2^{12088685540160} is an apocalyptic number.

12088685540160 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 12088685540160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21606743403648).

12088685540160 is an abundant number, since it is smaller than the sum of its proper divisors (31124801267136).

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

12088685540160 is an frugal number, since it uses more digits than its factorization.

12088685540160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4895 (or 4864 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 12088685540160 in words is "twelve trillion, eighty-eight billion, six hundred eighty-five million, five hundred forty thousand, one hundred sixty".