166563377400 has 288 divisors, whose sum is σ = 615302336880. Its totient is φ = 37142784000.

The previous prime is 166563377399. The next prime is 166563377401. The reversal of 166563377400 is 4773365661.

166563377400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (166563377399) and next prime (166563377401).

It is a self number, because there is not a number n which added to its sum of digits gives 166563377400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166563377401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1136310 + ... + 1274490.

Almost surely, 2^166563377400 is an apocalyptic number.

166563377400 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 166563377400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307651168440).

166563377400 is an abundant number, since it is smaller than the sum of its proper divisors (448738959480).

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

166563377400 is a wasteful number, since it uses less digits than its factorization.

166563377400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138255 (or 138239 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 48.

The spelling of 166563377400 in words is "one hundred sixty-six billion, five hundred sixty-three million, three hundred seventy-seven thousand, four hundred".