12743075520 has 672 divisors, whose sum is σ = 53307910656. Its totient is φ = 2836684800.

The previous prime is 12743075507. The next prime is 12743075537. The reversal of 12743075520 is 2557034721.

12743075520 is a `hidden beast` number, since 1 + 2 + 74 + 30 + 7 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22316835 + ... + 22317405.

It is an arithmetic number, because the mean of its divisors is an integer number (79327248).

Almost surely, 2^12743075520 is an apocalyptic number.

12743075520 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 12743075520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26653955328).

12743075520 is an abundant number, since it is smaller than the sum of its proper divisors (40564835136).

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

12743075520 is an equidigital number, since it uses as much as digits as its factorization.

12743075520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 629 counting only the distinct ones).

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

The spelling of 12743075520 in words is "twelve billion, seven hundred forty-three million, seventy-five thousand, five hundred twenty".