12085414796880 has 320 divisors, whose sum is σ = 42910590689280. Its totient is φ = 3124726166016.

The previous prime is 12085414796879. The next prime is 12085414796891. The reversal of 12085414796880 is 8869741458021.

12085414796880 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 541 + 4 + 7 + 9 + 6 + 8 + 80 = 666.

It is a congruent number.

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, 10306357 + ... + 11418923.

It is an arithmetic number, because the mean of its divisors is an integer number (134095595904).

Almost surely, 2^{12085414796880} is an apocalyptic number.

12085414796880 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 12085414796880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21455295344640).

12085414796880 is an abundant number, since it is smaller than the sum of its proper divisors (30825175892400).

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

12085414796880 is a wasteful number, since it uses less digits than its factorization.

12085414796880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112743 (or 1112731 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 12085414796880 in words is "twelve trillion, eighty-five billion, four hundred fourteen million, seven hundred ninety-six thousand, eight hundred eighty".