4092505560 has 640 divisors, whose sum is σ = 16516906560. Its totient is φ = 903260160.

The previous prime is 4092505481. The next prime is 4092505561. The reversal of 4092505560 is 655052904.

4092505560 is a `hidden beast` number, since 4 + 0 + 92 + 5 + 0 + 5 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4092505561) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 56061684 + ... + 56061756.

Almost surely, 2^4092505560 is an apocalyptic number.

4092505560 is a gapful number since it is divisible by the number (40) 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 4092505560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8258453280).

4092505560 is an abundant number, since it is smaller than the sum of its proper divisors (12424401000).

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

4092505560 is a wasteful number, since it uses less digits than its factorization.

4092505560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 4092505560 is about 63972.6938623035. The cubic root of 4092505560 is about 1599.5448653367.

The spelling of 4092505560 in words is "four billion, ninety-two million, five hundred five thousand, five hundred sixty".