12986973088320 has 1792 divisors, whose sum is σ = 54737115807744. Its totient is φ = 2529128448000.

The previous prime is 12986973088307. The next prime is 12986973088333. The reversal of 12986973088320 is 2388037968921.

It is an interprime number because it is at equal distance from previous prime (12986973088307) and next prime (12986973088333).

It is a super-2 number, since 2×12986973088320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 32712778362 + ... + 32712778758.

Almost surely, 2^{12986973088320} is an apocalyptic number.

12986973088320 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 12986973088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27368557903872).

12986973088320 is an abundant number, since it is smaller than the sum of its proper divisors (41750142719424).

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

12986973088320 is a wasteful number, since it uses less digits than its factorization.

12986973088320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 66.

The spelling of 12986973088320 in words is "twelve trillion, nine hundred eighty-six billion, nine hundred seventy-three million, eighty-eight thousand, three hundred twenty".