18567220020480 has 432 divisors, whose sum is σ = 64771459408656. Its totient is φ = 4910497136640.

The previous prime is 18567220020469. The next prime is 18567220020487. The reversal of 18567220020480 is 8402002276581.

18567220020480 is a `hidden beast` number, since 1 + 8 + 567 + 2 + 2 + 0 + 0 + 2 + 0 + 4 + 80 = 666.

18567220020480 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 5963129570304 + 12604090450176 = 2441952^2 + 3550224^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18567220020487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 777737824 + ... + 777761696.

Almost surely, 2^{18567220020480} is an apocalyptic number.

18567220020480 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 18567220020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32385729704328).

18567220020480 is an abundant number, since it is smaller than the sum of its proper divisors (46204239388176).

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

18567220020480 is a wasteful number, since it uses less digits than its factorization.

18567220020480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24454 (or 24437 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 18567220020480 in words is "eighteen trillion, five hundred sixty-seven billion, two hundred twenty million, twenty thousand, four hundred eighty".