12737566905000 has 1920 divisors, whose sum is σ = 50863058611200. Its totient is φ = 2641766400000.

The previous prime is 12737566904999. The next prime is 12737566905053. The reversal of 12737566905000 is 50966573721.

It is a super-2 number, since 2×12737566905000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 24448304740 + ... + 24448305260.

It is an arithmetic number, because the mean of its divisors is an integer number (26491176360).

Almost surely, 2^{12737566905000} is an apocalyptic number.

12737566905000 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 12737566905000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25431529305600).

12737566905000 is an abundant number, since it is smaller than the sum of its proper divisors (38125491706200).

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

12737566905000 is a wasteful number, since it uses less digits than its factorization.

12737566905000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 51.

The spelling of 12737566905000 in words is "twelve trillion, seven hundred thirty-seven billion, five hundred sixty-six million, nine hundred five thousand".