12573570240 has 1008 divisors, whose sum is σ = 56659150080. Its totient is φ = 2485555200.

The previous prime is 12573570239. The next prime is 12573570257. The reversal of 12573570240 is 4207537521.

12573570240 is a `hidden beast` number, since 12 + 5 + 73 + 570 + 2 + 4 + 0 = 666.

12573570240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

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 = 12573570195 and 12573570204.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 213111331 + ... + 213111389.

Almost surely, 2^12573570240 is an apocalyptic number.

12573570240 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 12573570240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28329575040).

12573570240 is an abundant number, since it is smaller than the sum of its proper divisors (44085579840).

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

12573570240 is a wasteful number, since it uses less digits than its factorization.

12573570240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 12573570240 in words is "twelve billion, five hundred seventy-three million, five hundred seventy thousand, two hundred forty".