12081616335360 has 2560 divisors, whose sum is σ = 52758673228800. Its totient is φ = 2580314849280.

The previous prime is 12081616335343. The next prime is 12081616335401. The reversal of 12081616335360 is 6353361618021.

12081616335360 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 1 + 6 + 1 + 633 + 5 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 32390392134 + ... + 32390392506.

It is an arithmetic number, because the mean of its divisors is an integer number (20608856730).

Almost surely, 2^{12081616335360} is an apocalyptic number.

12081616335360 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 12081616335360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26379336614400).

12081616335360 is an abundant number, since it is smaller than the sum of its proper divisors (40677056893440).

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

12081616335360 is a wasteful number, since it uses less digits than its factorization.

12081616335360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 12081616335360 in words is "twelve trillion, eighty-one billion, six hundred sixteen million, three hundred thirty-five thousand, three hundred sixty".