12594755040 has 384 divisors, whose sum is σ = 46750556160. Its totient is φ = 2790402048.

The previous prime is 12594755029. The next prime is 12594755059. The reversal of 12594755040 is 4055749521.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 12594754983 and 12594755001.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 25861677 + ... + 25862163.

It is an arithmetic number, because the mean of its divisors is an integer number (121746240).

Almost surely, 2^12594755040 is an apocalyptic number.

12594755040 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 12594755040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23375278080).

12594755040 is an abundant number, since it is smaller than the sum of its proper divisors (34155801120).

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

12594755040 is a wasteful number, since it uses less digits than its factorization.

12594755040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The spelling of 12594755040 in words is "twelve billion, five hundred ninety-four million, seven hundred fifty-five thousand, forty".