12595408560 has 480 divisors, whose sum is σ = 51420994560. Its totient is φ = 2698831872.

The previous prime is 12595408543. The next prime is 12595408561. The reversal of 12595408560 is 6580459521.

12595408560 is a `hidden beast` number, since 1 + 2 + 59 + 540 + 8 + 56 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12595408561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9862642 + ... + 9863918.

It is an arithmetic number, because the mean of its divisors is an integer number (107127072).

Almost surely, 2^12595408560 is an apocalyptic number.

12595408560 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 12595408560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25710497280).

12595408560 is an abundant number, since it is smaller than the sum of its proper divisors (38825586000).

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

12595408560 is a wasteful number, since it uses less digits than its factorization.

12595408560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 12595408560 in words is "twelve billion, five hundred ninety-five million, four hundred eight thousand, five hundred sixty".