20166448500 has 576 divisors, whose sum is σ = 73264988160. Its totient is φ = 4801680000.

The previous prime is 20166448499. The next prime is 20166448573. The reversal of 20166448500 is 584466102.

20166448500 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 644 + 8 + 5 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 105583405 + ... + 105583595.

It is an arithmetic number, because the mean of its divisors is an integer number (127196160).

Almost surely, 2^20166448500 is an apocalyptic number.

20166448500 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 20166448500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36632494080).

20166448500 is an abundant number, since it is smaller than the sum of its proper divisors (53098539660).

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

20166448500 is a wasteful number, since it uses less digits than its factorization.

20166448500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 20166448500 in words is "twenty billion, one hundred sixty-six million, four hundred forty-eight thousand, five hundred".