2166106300560 has 640 divisors, whose sum is σ = 8010965836800. Its totient is φ = 536043847680.

The previous prime is 2166106300537. The next prime is 2166106300571. The reversal of 2166106300560 is 650036016612.

2166106300560 is a `hidden beast` number, since 2 + 1 + 6 + 6 + 10 + 630 + 0 + 5 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1591554280 + ... + 1591555640.

It is an arithmetic number, because the mean of its divisors is an integer number (12517134120).

Almost surely, 2^{2166106300560} is an apocalyptic number.

2166106300560 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 2166106300560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4005482918400).

2166106300560 is an abundant number, since it is smaller than the sum of its proper divisors (5844859536240).

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

2166106300560 is a wasteful number, since it uses less digits than its factorization.

2166106300560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 2166106300560 in words is "two trillion, one hundred sixty-six billion, one hundred six million, three hundred thousand, five hundred sixty".