12989501677440 has 640 divisors, whose sum is σ = 46946553904800. Its totient is φ = 3422331813888.

The previous prime is 12989501677423. The next prime is 12989501677441. The reversal of 12989501677440 is 4477610598921.

12989501677440 is a `hidden beast` number, since 1 + 2 + 9 + 89 + 50 + 1 + 67 + 7 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12989501677441) 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 79 ways as a sum of consecutive naturals, for example, 2107655799 + ... + 2107661961.

Almost surely, 2^{12989501677440} is an apocalyptic number.

12989501677440 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 12989501677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23473276952400).

12989501677440 is an abundant number, since it is smaller than the sum of its proper divisors (33957052227360).

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

12989501677440 is a wasteful number, since it uses less digits than its factorization.

12989501677440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6676 (or 6655 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 12989501677440 in words is "twelve trillion, nine hundred eighty-nine billion, five hundred one million, six hundred seventy-seven thousand, four hundred forty".