12595419648 has 400 divisors, whose sum is σ = 44007332160. Its totient is φ = 3511517184.

The previous prime is 12595419593. The next prime is 12595419649. The reversal of 12595419648 is 84691459521.

12595419648 is a `hidden beast` number, since 1 + 2 + 5 + 9 + 541 + 96 + 4 + 8 = 666.

It is a super-2 number, since 2×12595419648² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 12595419594 and 12595419603.

It is not an unprimeable number, because it can be changed into a prime (12595419649) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12482568 + ... + 12483576.

Almost surely, 2^12595419648 is an apocalyptic number.

12595419648 is a gapful number since it is divisible by the number (18) 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 12595419648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22003666080).

12595419648 is an abundant number, since it is smaller than the sum of its proper divisors (31411912512).

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

12595419648 is an equidigital number, since it uses as much as digits as its factorization.

12595419648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1064 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The spelling of 12595419648 in words is "twelve billion, five hundred ninety-five million, four hundred nineteen thousand, six hundred forty-eight".