12545658993160 has 128 divisors (see below), whose sum is σ = 30073665484800. Its totient is φ = 4703246346240.

The previous prime is 12545658993089. The next prime is 12545658993187. The reversal of 12545658993160 is 6139985654521.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12545658993092 and 12545658993101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3485169 + ... + 6102271.

It is an arithmetic number, because the mean of its divisors is an integer number (234950511600).

Almost surely, 2^{12545658993160} is an apocalyptic number.

12545658993160 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 12545658993160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15036832742400).

12545658993160 is an abundant number, since it is smaller than the sum of its proper divisors (17528006491640).

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

12545658993160 is a wasteful number, since it uses less digits than its factorization.

12545658993160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2617271 (or 2617267 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 64.

The spelling of 12545658993160 in words is "twelve trillion, five hundred forty-five billion, six hundred fifty-eight million, nine hundred ninety-three thousand, one hundred sixty".