13660104612960 has 768 divisors, whose sum is σ = 52933357854720. Its totient is φ = 3269055283200.

The previous prime is 13660104612953. The next prime is 13660104612967. The reversal of 13660104612960 is 6921640106631.

13660104612960 is a `hidden beast` number, since 1 + 36 + 60 + 10 + 461 + 2 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13660104612953) and next prime (13660104612967).

It is a super-2 number, since 2×13660104612960² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13660104612967) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 398550384 + ... + 398584656.

It is an arithmetic number, because the mean of its divisors is an integer number (68923643040).

Almost surely, 2^{13660104612960} is an apocalyptic number.

13660104612960 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 13660104612960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26466678927360).

13660104612960 is an abundant number, since it is smaller than the sum of its proper divisors (39273253241760).

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

13660104612960 is a wasteful number, since it uses less digits than its factorization.

13660104612960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34508 (or 34494 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 13660104612960 in words is "thirteen trillion, six hundred sixty billion, one hundred four million, six hundred twelve thousand, nine hundred sixty".