2166105255520 has 96 divisors (see below), whose sum is σ = 5165919158400. Its totient is φ = 858236000256.

The previous prime is 2166105255499. The next prime is 2166105255539. The reversal of 2166105255520 is 255525016612.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64668217 + ... + 64701703.

It is an arithmetic number, because the mean of its divisors is an integer number (53811657900).

Almost surely, 2^{2166105255520} is an apocalyptic number.

2166105255520 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 2166105255520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2582959579200).

2166105255520 is an abundant number, since it is smaller than the sum of its proper divisors (2999813902880).

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

2166105255520 is a wasteful number, since it uses less digits than its factorization.

2166105255520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37320 (or 37312 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 40.

The spelling of 2166105255520 in words is "two trillion, one hundred sixty-six billion, one hundred five million, two hundred fifty-five thousand, five hundred twenty".