12573411840 has 640 divisors, whose sum is σ = 50911027200. Its totient is φ = 2911518720.

The previous prime is 12573411779. The next prime is 12573411841. The reversal of 12573411840 is 4811437521.

12573411840 is a `hidden beast` number, since 1 + 2 + 573 + 4 + 1 + 1 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12573411795 and 12573411804.

It is not an unprimeable number, because it can be changed into a prime (12573411841) 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, 17487001 + ... + 17487719.

It is an arithmetic number, because the mean of its divisors is an integer number (79548480).

Almost surely, 2^12573411840 is an apocalyptic number.

12573411840 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 12573411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25455513600).

12573411840 is an abundant number, since it is smaller than the sum of its proper divisors (38337615360).

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

12573411840 is a wasteful number, since it uses less digits than its factorization.

12573411840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 12573411840 in words is "twelve billion, five hundred seventy-three million, four hundred eleven thousand, eight hundred forty".