1112585740560 has 1440 divisors, whose sum is σ = 4838186229120. Its totient is φ = 234111596544.

The previous prime is 1112585740559. The next prime is 1112585740583. The reversal of 1112585740560 is 650475852111.

1112585740560 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 5 + 85 + 7 + 4 + 0 + 560 = 666.

It is a super-2 number, since 2×1112585740560² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1413704487 + ... + 1413705273.

It is an arithmetic number, because the mean of its divisors is an integer number (3359851548).

Almost surely, 2^{1112585740560} is an apocalyptic number.

1112585740560 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 1112585740560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419093114560).

1112585740560 is an abundant number, since it is smaller than the sum of its proper divisors (3725600488560).

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

1112585740560 is a wasteful number, since it uses less digits than its factorization.

1112585740560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 1112585740560 in words is "one trillion, one hundred twelve billion, five hundred eighty-five million, seven hundred forty thousand, five hundred sixty".