12606306465280 has 320 divisors, whose sum is σ = 33687897408000. Its totient is φ = 4485685248000.

The previous prime is 12606306465229. The next prime is 12606306465301. The reversal of 12606306465280 is 8256460360621.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284872596 + ... + 284916844.

It is an arithmetic number, because the mean of its divisors is an integer number (105274679400).

Almost surely, 2^{12606306465280} is an apocalyptic number.

12606306465280 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 12606306465280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16843948704000).

12606306465280 is an abundant number, since it is smaller than the sum of its proper divisors (21081590942720).

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

12606306465280 is a wasteful number, since it uses less digits than its factorization.

12606306465280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44501 (or 44485 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 49.

The spelling of 12606306465280 in words is "twelve trillion, six hundred six billion, three hundred six million, four hundred sixty-five thousand, two hundred eighty".