20168616000 has 448 divisors, whose sum is σ = 72426332160. Its totient is φ = 4915814400.

The previous prime is 20168615977. The next prime is 20168616029. The reversal of 20168616000 is 61686102.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39623746 + ... + 39624254.

It is an arithmetic number, because the mean of its divisors is an integer number (161665920).

Almost surely, 2^20168616000 is an apocalyptic number.

20168616000 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 20168616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36213166080).

20168616000 is an abundant number, since it is smaller than the sum of its proper divisors (52257716160).

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

20168616000 is a wasteful number, since it uses less digits than its factorization.

20168616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 20168616000 in words is "twenty billion, one hundred sixty-eight million, six hundred sixteen thousand".