166106505600 has 960 divisors, whose sum is σ = 709619581440. Its totient is φ = 37475758080.

The previous prime is 166106505599. The next prime is 166106505619. The reversal of 166106505600 is 6505601661.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 150594649 + ... + 150595751.

It is an arithmetic number, because the mean of its divisors is an integer number (739187064).

Almost surely, 2^166106505600 is an apocalyptic number.

166106505600 is a gapful number since it is divisible by the number (10) 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 166106505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354809790720).

166106505600 is an abundant number, since it is smaller than the sum of its proper divisors (543513075840).

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

166106505600 is a wasteful number, since it uses less digits than its factorization.

166106505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 166106505600 in words is "one hundred sixty-six billion, one hundred six million, five hundred five thousand, six hundred".