12306585795840 has 2304 divisors, whose sum is σ = 54389760768000. Its totient is φ = 2624707362816.

The previous prime is 12306585795709. The next prime is 12306585795863. The reversal of 12306585795840 is 4859758560321.

12306585795840 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 6 + 5 + 8 + 579 + 58 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×12306585795840² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 34862849104 + ... + 34862849456.

It is an arithmetic number, because the mean of its divisors is an integer number (23606667000).

It is a 2-persistent number, because it is pandigital, and so is 2⋅12306585795840 = 24613171591680, but 3⋅12306585795840 = 36919757387520 is not.

Almost surely, 2^{12306585795840} is an apocalyptic number.

12306585795840 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 12306585795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27194880384000).

12306585795840 is an abundant number, since it is smaller than the sum of its proper divisors (42083174972160).

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

12306585795840 is a wasteful number, since it uses less digits than its factorization.

12306585795840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 12306585795840 in words is "twelve trillion, three hundred six billion, five hundred eighty-five million, seven hundred ninety-five thousand, eight hundred forty".