2160505567836 has 864 divisors, whose sum is σ = 7189762944000. Its totient is φ = 546261408000.

The previous prime is 2160505567799. The next prime is 2160505567867. The reversal of 2160505567836 is 6387655050612.

It is a happy number.

2160505567836 is a `hidden beast` number, since 2 + 1 + 6 + 0 + 5 + 0 + 556 + 7 + 83 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15543205455 + ... + 15543205593.

Almost surely, 2^{2160505567836} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2160505567836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3594881472000).

2160505567836 is an abundant number, since it is smaller than the sum of its proper divisors (5029257376164).

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

2160505567836 is a wasteful number, since it uses less digits than its factorization.

2160505567836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 2160505567836 in words is "two trillion, one hundred sixty billion, five hundred five million, five hundred sixty-seven thousand, eight hundred thirty-six".