2166005358360 has 256 divisors, whose sum is σ = 7239456000000. Its totient is φ = 576048844800.

The previous prime is 2166005358353. The next prime is 2166005358371. The reversal of 2166005358360 is 638535006612.

2166005358360 is a `hidden beast` number, since 2 + 1 + 6 + 6 + 0 + 0 + 5 + 3 + 583 + 60 = 666.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 921311185 + ... + 921313535.

It is an arithmetic number, because the mean of its divisors is an integer number (28279125000).

Almost surely, 2^{2166005358360} is an apocalyptic number.

2166005358360 is a gapful number since it is divisible by the number (20) 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 2166005358360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619728000000).

2166005358360 is an abundant number, since it is smaller than the sum of its proper divisors (5073450641640).

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

2166005358360 is a wasteful number, since it uses less digits than its factorization.

2166005358360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4303 (or 4293 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 2166005358360 in words is "two trillion, one hundred sixty-six billion, five million, three hundred fifty-eight thousand, three hundred sixty".