12584578364160 has 576 divisors, whose sum is σ = 45328650554880. Its totient is φ = 2949096407040.

The previous prime is 12584578364119. The next prime is 12584578364191. The reversal of 12584578364160 is 6146387548521.

It is a super-2 number, since 2×12584578364160² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 12584578364094 and 12584578364103.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 176147326 + ... + 176218754.

It is an arithmetic number, because the mean of its divisors is an integer number (78695573880).

Almost surely, 2^{12584578364160} is an apocalyptic number.

12584578364160 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 12584578364160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22664325277440).

12584578364160 is an abundant number, since it is smaller than the sum of its proper divisors (32744072190720).

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

12584578364160 is a wasteful number, since it uses less digits than its factorization.

12584578364160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71604 (or 71590 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 60.

The spelling of 12584578364160 in words is "twelve trillion, five hundred eighty-four billion, five hundred seventy-eight million, three hundred sixty-four thousand, one hundred sixty".