18720938632900 has 243 divisors, whose sum is σ = 47766226092039. Its totient is φ = 6350175336960.

The previous prime is 18720938632897. The next prime is 18720938632909. The reversal of 18720938632900 is 923683902781.

The square root of 18720938632900 is 4326770.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 9524469958276 + 9196468674624 = 3086174^2 + 3032568^2 .

It is not an unprimeable number, because it can be changed into a prime (18720938632909) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 34224750427 + ... + 34224750973.

Almost surely, 2^{18720938632900} is an apocalyptic number.

18720938632900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18720938632900 is the 4326770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18720938632900

18720938632900 is an abundant number, since it is smaller than the sum of its proper divisors (29045287459139).

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

18720938632900 is an equidigital number, since it uses as much as digits as its factorization.

18720938632900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 58.

The spelling of 18720938632900 in words is "eighteen trillion, seven hundred twenty billion, nine hundred thirty-eight million, six hundred thirty-two thousand, nine hundred".