1228517584560 has 960 divisors, whose sum is σ = 5252747136000. Its totient is φ = 265997426688.

The previous prime is 1228517584559. The next prime is 1228517584561. The reversal of 1228517584560 is 654857158221.

1228517584560 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 5 + 1 + 7 + 584 + 56 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1228517584559) and next prime (1228517584561).

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 = 1228517584497 and 1228517584506.

It is not an unprimeable number, because it can be changed into a prime (1228517584561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 126685632 + ... + 126695328.

It is an arithmetic number, because the mean of its divisors is an integer number (5471611600).

Almost surely, 2^{1228517584560} is an apocalyptic number.

1228517584560 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 1228517584560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626373568000).

1228517584560 is an abundant number, since it is smaller than the sum of its proper divisors (4024229551440).

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

1228517584560 is an equidigital number, since it uses as much as digits as its factorization.

1228517584560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9765 (or 9733 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The spelling of 1228517584560 in words is "one trillion, two hundred twenty-eight billion, five hundred seventeen million, five hundred eighty-four thousand, five hundred sixty".