166207662400 has 168 divisors, whose sum is σ = 440911370144. Its totient is φ = 61302528000.

The previous prime is 166207662331. The next prime is 166207662403. The reversal of 166207662400 is 4266702661.

166207662400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166207662403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21856999 + ... + 21864601.

Almost surely, 2^166207662400 is an apocalyptic number.

166207662400 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 166207662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220455685072).

166207662400 is an abundant number, since it is smaller than the sum of its proper divisors (274703707744).

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

166207662400 is a wasteful number, since it uses less digits than its factorization.

166207662400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8689 (or 8674 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 166207662400 in words is "one hundred sixty-six billion, two hundred seven million, six hundred sixty-two thousand, four hundred".