12758989002000 has 320 divisors, whose sum is σ = 42567029107200. Its totient is φ = 3284023142400.

The previous prime is 12758989001981. The next prime is 12758989002007. The reversal of 12758989002000 is 20098985721.

It is not an unprimeable number, because it can be changed into a prime (12758989002007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 647096142 + ... + 647115858.

It is an arithmetic number, because the mean of its divisors is an integer number (133021965960).

Almost surely, 2^{12758989002000} is an apocalyptic number.

12758989002000 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 12758989002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21283514553600).

12758989002000 is an abundant number, since it is smaller than the sum of its proper divisors (29808040105200).

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

12758989002000 is a wasteful number, since it uses less digits than its factorization.

12758989002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23491 (or 23475 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 51.

The spelling of 12758989002000 in words is "twelve trillion, seven hundred fifty-eight billion, nine hundred eighty-nine million, two thousand".