166816544400 has 360 divisors, whose sum is σ = 632147798880. Its totient is φ = 40400640000.

The previous prime is 166816544393. The next prime is 166816544407. The reversal of 166816544400 is 4445618661.

166816544400 is a `hidden beast` number, since 1 + 6 + 68 + 1 + 6 + 544 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (166816544393) and next prime (166816544407).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (166816544407) 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, 71318431 + ... + 71320769.

It is an arithmetic number, because the mean of its divisors is an integer number (1755966108).

Almost surely, 2^166816544400 is an apocalyptic number.

166816544400 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 166816544400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316073899440).

166816544400 is an abundant number, since it is smaller than the sum of its proper divisors (465331254480).

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

166816544400 is a wasteful number, since it uses less digits than its factorization.

166816544400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4175 (or 4161 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 166816544400 in words is "one hundred sixty-six billion, eight hundred sixteen million, five hundred forty-four thousand, four hundred".