13612096917720 has 576 divisors, whose sum is σ = 52402078310400. Its totient is φ = 3054641103360.

The previous prime is 13612096917703. The next prime is 13612096917743. The reversal of 13612096917720 is 2771969021631.

13612096917720 is a `hidden beast` number, since 1 + 3 + 612 + 0 + 9 + 6 + 9 + 17 + 7 + 2 + 0 = 666.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 844048297 + ... + 844064423.

It is an arithmetic number, because the mean of its divisors is an integer number (90975830400).

Almost surely, 2^{13612096917720} is an apocalyptic number.

13612096917720 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 13612096917720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26201039155200).

13612096917720 is an abundant number, since it is smaller than the sum of its proper divisors (38789981392680).

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

13612096917720 is a wasteful number, since it uses less digits than its factorization.

13612096917720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17028 (or 17014 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 13612096917720 in words is "thirteen trillion, six hundred twelve billion, ninety-six million, nine hundred seventeen thousand, seven hundred twenty".