166266356261400 has 144 divisors (see below), whose sum is σ = 558384655079160. Its totient is φ = 44337154368000.

The previous prime is 166266356261351. The next prime is 166266356261417. The reversal of 166266356261400 is 4162653662661.

166266356261400 is a `hidden beast` number, since 1 + 6 + 6 + 2 + 6 + 6 + 3 + 5 + 626 + 1 + 4 + 0 + 0 = 666.

166266356261400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 159773164 + ... + 160810436.

Almost surely, 2^{166266356261400} is an apocalyptic number.

166266356261400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166266356261400 is an abundant number, since it is smaller than the sum of its proper divisors (392118298817760).

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

166266356261400 is a wasteful number, since it uses less digits than its factorization.

166266356261400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126346 (or 1126334 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 166266356261400 in words is "one hundred sixty-six trillion, two hundred sixty-six billion, three hundred fifty-six million, two hundred sixty-one thousand, four hundred".