12519171789540 has 192 divisors, whose sum is σ = 38466344716800. Its totient is φ = 3023723851776.

The previous prime is 12519171789461. The next prime is 12519171789563. The reversal of 12519171789540 is 4598717191521.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8042256 + ... + 9471864.

It is an arithmetic number, because the mean of its divisors is an integer number (200345545400).

Almost surely, 2^{12519171789540} is an apocalyptic number.

12519171789540 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 12519171789540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19233172358400).

12519171789540 is an abundant number, since it is smaller than the sum of its proper divisors (25947172927260).

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

12519171789540 is a wasteful number, since it uses less digits than its factorization.

12519171789540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429846 (or 1429844 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 60.

The spelling of 12519171789540 in words is "twelve trillion, five hundred nineteen billion, one hundred seventy-one million, seven hundred eighty-nine thousand, five hundred forty".