2166642112600 has 192 divisors, whose sum is σ = 6128179200000. Its totient is φ = 695843343360.

The previous prime is 2166642112553. The next prime is 2166642112639. The reversal of 2166642112600 is 62112466612.

It is a self number, because there is not a number n which added to its sum of digits gives 2166642112600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1909801 + ... + 2824999.

It is an arithmetic number, because the mean of its divisors is an integer number (31917600000).

Almost surely, 2^{2166642112600} is an apocalyptic number.

2166642112600 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 2166642112600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064089600000).

2166642112600 is an abundant number, since it is smaller than the sum of its proper divisors (3961537087400).

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

2166642112600 is a wasteful number, since it uses less digits than its factorization.

2166642112600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915330 (or 915321 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 2166642112600 in words is "two trillion, one hundred sixty-six billion, six hundred forty-two million, one hundred twelve thousand, six hundred".