12889840632480 has 576 divisors, whose sum is σ = 50824487121408. Its totient is φ = 2913839308800.

The previous prime is 12889840632457. The next prime is 12889840632509. The reversal of 12889840632480 is 8423604898821.

12889840632480 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 98 + 4 + 0 + 63 + 2 + 480 = 666.

It is a super-3 number, since 3×12889840632480³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 984476814 + ... + 984489906.

It is an arithmetic number, because the mean of its divisors is an integer number (88236956808).

Almost surely, 2^{12889840632480} is an apocalyptic number.

12889840632480 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 12889840632480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25412243560704).

12889840632480 is an abundant number, since it is smaller than the sum of its proper divisors (37934646488928).

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

12889840632480 is a wasteful number, since it uses less digits than its factorization.

12889840632480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14189 (or 14178 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 12889840632480 in words is "twelve trillion, eight hundred eighty-nine billion, eight hundred forty million, six hundred thirty-two thousand, four hundred eighty".