166061160155100 has 288 divisors, whose sum is σ = 568359472665600. Its totient is φ = 36627607296000.

The previous prime is 166061160155063. The next prime is 166061160155101. The reversal of 166061160155100 is 1551061160661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166061160155101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108923881 + ... + 110437919.

It is an arithmetic number, because the mean of its divisors is an integer number (1973470391200).

Almost surely, 2^{166061160155100} is an apocalyptic number.

166061160155100 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 166061160155100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284179736332800).

166061160155100 is an abundant number, since it is smaller than the sum of its proper divisors (402298312510500).

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

166061160155100 is a wasteful number, since it uses less digits than its factorization.

166061160155100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515893 (or 1515886 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 39.

The spelling of 166061160155100 in words is "one hundred sixty-six trillion, sixty-one billion, one hundred sixty million, one hundred fifty-five thousand, one hundred".