1999564560 has 540 divisors, whose sum is σ = 8296849548. Its totient is φ = 430230528.

The previous prime is 1999564519. The next prime is 1999564597. The reversal of 1999564560 is 654659991.

1999564560 is a `hidden beast` number, since 19 + 9 + 9 + 5 + 64 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 652087296 + 1347477264 = 25536^2 + 36708^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1999564497 and 1999564506.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 12736002 + ... + 12736158.

Almost surely, 2^1999564560 is an apocalyptic number.

1999564560 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 1999564560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4148424774).

1999564560 is an abundant number, since it is smaller than the sum of its proper divisors (6297284988).

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

1999564560 is a wasteful number, since it uses less digits than its factorization.

1999564560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The square root of 1999564560 is about 44716.4909177811. The cubic root of 1999564560 is about 1259.8296065879.

The spelling of 1999564560 in words is "one billion, nine hundred ninety-nine million, five hundred sixty-four thousand, five hundred sixty".