166611616506090 has 384 divisors, whose sum is σ = 513980477816832. Its totient is φ = 36643041377280.

The previous prime is 166611616506067. The next prime is 166611616506109. The reversal of 166611616506090 is 90605616116661.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2525801449 + ... + 2525867411.

It is an arithmetic number, because the mean of its divisors is an integer number (1338490827648).

Almost surely, 2^{166611616506090} is an apocalyptic number.

166611616506090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 166611616506090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256990238908416).

166611616506090 is an abundant number, since it is smaller than the sum of its proper divisors (347368861310742).

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

166611616506090 is a wasteful number, since it uses less digits than its factorization.

166611616506090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66754 (or 66751 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 166611616506090 in words is "one hundred sixty-six trillion, six hundred eleven billion, six hundred sixteen million, five hundred six thousand, ninety".