166201126900 has 18 divisors (see below), whose sum is σ = 360656445590. Its totient is φ = 66480450720.

The previous prime is 166201126879. The next prime is 166201126901. The reversal of 166201126900 is 9621102661.

It can be written as a sum of positive squares in 3 ways, for example, as 10101858064 + 156099268836 = 100508^2 + 395094^2 .

It is a super-2 number, since 2×166201126900² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166201126901) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 831005535 + ... + 831005734.

Almost surely, 2^166201126900 is an apocalyptic number.

166201126900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166201126900 is an abundant number, since it is smaller than the sum of its proper divisors (194455318690).

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

166201126900 is a wasteful number, since it uses less digits than its factorization.

166201126900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662011283 (or 1662011276 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The spelling of 166201126900 in words is "one hundred sixty-six billion, two hundred one million, one hundred twenty-six thousand, nine hundred".