12986914498560 has 1920 divisors, whose sum is σ = 50121705553920. Its totient is φ = 3210529996800.

The previous prime is 12986914498559. The next prime is 12986914498561. The reversal of 12986914498560 is 6589441968921.

12986914498560 is a `hidden beast` number, since 1 + 2 + 9 + 8 + 6 + 9 + 14 + 49 + 8 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (12986914498559) and next prime (12986914498561).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (12986914498561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 102259169217 + ... + 102259169343.

It is an arithmetic number, because the mean of its divisors is an integer number (26105054976).

Almost surely, 2^{12986914498560} is an apocalyptic number.

12986914498560 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 12986914498560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25060852776960).

12986914498560 is an abundant number, since it is smaller than the sum of its proper divisors (37134791055360).

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

12986914498560 is a wasteful number, since it uses less digits than its factorization.

12986914498560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 72.

The spelling of 12986914498560 in words is "twelve trillion, nine hundred eighty-six billion, nine hundred fourteen million, four hundred ninety-eight thousand, five hundred sixty".