20166008400 has 720 divisors, whose sum is σ = 77868676800. Its totient is φ = 4949683200.

The previous prime is 20166008399. The next prime is 20166008407. The reversal of 20166008400 is 480066102.

20166008400 is a `hidden beast` number, since 2 + 0 + 16 + 600 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20166008407) 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 143 ways as a sum of consecutive naturals, for example, 300985167 + ... + 300985233.

It is an arithmetic number, because the mean of its divisors is an integer number (108150940).

Almost surely, 2^20166008400 is an apocalyptic number.

20166008400 is a gapful number since it is divisible by the number (20) 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 20166008400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38934338400).

20166008400 is an abundant number, since it is smaller than the sum of its proper divisors (57702668400).

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

20166008400 is a wasteful number, since it uses less digits than its factorization.

20166008400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 20166008400 in words is "twenty billion, one hundred sixty-six million, eight thousand, four hundred".