12617104366080 has 480 divisors, whose sum is σ = 43882604333568. Its totient is φ = 3350274048000.

The previous prime is 12617104366033. The next prime is 12617104366091. The reversal of 12617104366080 is 8066340171621.

12617104366080 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 7 + 1 + 0 + 4 + 36 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6743507545 + ... + 6743509415.

Almost surely, 2^{12617104366080} is an apocalyptic number.

12617104366080 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 12617104366080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21941302166784).

12617104366080 is an abundant number, since it is smaller than the sum of its proper divisors (31265499967488).

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

12617104366080 is a wasteful number, since it uses less digits than its factorization.

12617104366080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988 (or 2969 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 12617104366080 in words is "twelve trillion, six hundred seventeen billion, one hundred four million, three hundred sixty-six thousand, eighty".