12595712640 has 384 divisors, whose sum is σ = 48742715520. Its totient is φ = 2753372160.

The previous prime is 12595712627. The next prime is 12595712707. The reversal of 12595712640 is 4621759521.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 12595712592 and 12595712601.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2160930 + ... + 2166750.

It is an arithmetic number, because the mean of its divisors is an integer number (126934155).

Almost surely, 2^12595712640 is an apocalyptic number.

12595712640 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 12595712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24371357760).

12595712640 is an abundant number, since it is smaller than the sum of its proper divisors (36147002880).

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

12595712640 is a wasteful number, since it uses less digits than its factorization.

12595712640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5880 (or 5861 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 12595712640 in words is "twelve billion, five hundred ninety-five million, seven hundred twelve thousand, six hundred forty".