18793835590880 has 576 divisors, whose sum is σ = 57122000917632. Its totient is φ = 5795138764800.

The previous prime is 18793835590847. The next prime is 18793835590889. The reversal of 18793835590880 is 8809553839781.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 18793835590798 and 18793835590807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18793835590889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3914564480 + ... + 3914569280.

It is an arithmetic number, because the mean of its divisors is an integer number (99170140482).

Almost surely, 2^{18793835590880} is an apocalyptic number.

18793835590880 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 18793835590880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28561000458816).

18793835590880 is an abundant number, since it is smaller than the sum of its proper divisors (38328165326752).

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

18793835590880 is a wasteful number, since it uses less digits than its factorization.

18793835590880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6147 (or 6132 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 74.

The spelling of 18793835590880 in words is "eighteen trillion, seven hundred ninety-three billion, eight hundred thirty-five million, five hundred ninety thousand, eight hundred eighty".