18966952800 has 216 divisors, whose sum is σ = 67187824704. Its totient is φ = 5034746880.

The previous prime is 18966952793. The next prime is 18966952801. The reversal of 18966952800 is 825966981.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18966952801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1599694 + ... + 1611506.

It is an arithmetic number, because the mean of its divisors is an integer number (311054744).

Almost surely, 2^18966952800 is an apocalyptic number.

18966952800 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 18966952800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33593912352).

18966952800 is an abundant number, since it is smaller than the sum of its proper divisors (48220871904).

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

18966952800 is a wasteful number, since it uses less digits than its factorization.

18966952800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12062 (or 12046 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 18966952800 in words is "eighteen billion, nine hundred sixty-six million, nine hundred fifty-two thousand, eight hundred".