12987980450730 has 256 divisors, whose sum is σ = 35549586063360. Its totient is φ = 3372748015104.

The previous prime is 12987980450723. The next prime is 12987980450791. The reversal of 12987980450730 is 3705408978921.

12987980450730 is a `hidden beast` number, since 1 + 2 + 9 + 8 + 7 + 98 + 0 + 4 + 507 + 30 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2410983097 + ... + 2410988483.

It is an arithmetic number, because the mean of its divisors is an integer number (138865570560).

Almost surely, 2^{12987980450730} is an apocalyptic number.

12987980450730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12987980450730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17774793031680).

12987980450730 is an abundant number, since it is smaller than the sum of its proper divisors (22561605612630).

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

12987980450730 is a wasteful number, since it uses less digits than its factorization.

12987980450730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6370 (or 6364 counting only the distinct ones).

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

The spelling of 12987980450730 in words is "twelve trillion, nine hundred eighty-seven billion, nine hundred eighty million, four hundred fifty thousand, seven hundred thirty".