18966528000 has 960 divisors, whose sum is σ = 81786432000. Its totient is φ = 4335206400.

The previous prime is 18966527971. The next prime is 18966528017. The reversal of 18966528000 is 82566981.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2709503997 + ... + 2709504003.

It is an arithmetic number, because the mean of its divisors is an integer number (85194200).

Almost surely, 2^18966528000 is an apocalyptic number.

18966528000 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 18966528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40893216000).

18966528000 is an abundant number, since it is smaller than the sum of its proper divisors (62819904000).

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

18966528000 is an frugal number, since it uses more digits than its factorization.

18966528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 18966528000 in words is "eighteen billion, nine hundred sixty-six million, five hundred twenty-eight thousand".