12572713347840 has 288 divisors, whose sum is σ = 44620513459200. Its totient is φ = 3352359628800.

The previous prime is 12572713347713. The next prime is 12572713347847. The reversal of 12572713347840 is 4874331727521.

12572713347840 is a `hidden beast` number, since 1 + 2 + 5 + 72 + 71 + 33 + 478 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12572713347847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 505911415 + ... + 505936265.

It is an arithmetic number, because the mean of its divisors is an integer number (154932338400).

Almost surely, 2^{12572713347840} is an apocalyptic number.

12572713347840 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 12572713347840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22310256729600).

12572713347840 is an abundant number, since it is smaller than the sum of its proper divisors (32047800111360).

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

12572713347840 is a wasteful number, since it uses less digits than its factorization.

12572713347840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39520 (or 39500 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 12572713347840 in words is "twelve trillion, five hundred seventy-two billion, seven hundred thirteen million, three hundred forty-seven thousand, eight hundred forty".