1225973827584 has 432 divisors, whose sum is σ = 3914786273580. Its totient is φ = 369333043200.

The previous prime is 1225973827577. The next prime is 1225973827607. The reversal of 1225973827584 is 4857283795221.

1225973827584 is a `hidden beast` number, since 1 + 2 + 2 + 597 + 38 + 2 + 7 + 5 + 8 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1199182685184 + 26791142400 = 1095072^2 + 163680^2 .

It is a super-3 number, since 3×1225973827584³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 403677714 + ... + 403680750.

Almost surely, 2^{1225973827584} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1225973827584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957393136790).

1225973827584 is an abundant number, since it is smaller than the sum of its proper divisors (2688812445996).

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

1225973827584 is a wasteful number, since it uses less digits than its factorization.

1225973827584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3268 (or 3234 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 63.

The spelling of 1225973827584 in words is "one trillion, two hundred twenty-five billion, nine hundred seventy-three million, eight hundred twenty-seven thousand, five hundred eighty-four".