16560815040 has 1344 divisors, whose sum is σ = 76795944960. Its totient is φ = 3284582400.

The previous prime is 16560815039. The next prime is 16560815053. The reversal of 16560815040 is 4051806561.

16560815040 is a `hidden beast` number, since 1 + 6 + 5 + 608 + 1 + 5 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a junction number, because it is equal to n+sod(n) for n = 16560814986 and 16560815004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 226860444 + ... + 226860516.

It is an arithmetic number, because the mean of its divisors is an integer number (57139840).

Almost surely, 2^16560815040 is an apocalyptic number.

16560815040 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 16560815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38397972480).

16560815040 is an abundant number, since it is smaller than the sum of its proper divisors (60235129920).

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

16560815040 is a wasteful number, since it uses less digits than its factorization.

16560815040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 16560815040 in words is "sixteen billion, five hundred sixty million, eight hundred fifteen thousand, forty".