18267885011040 has 1536 divisors, whose sum is σ = 72820819169280. Its totient is φ = 3756320096256.

The previous prime is 18267885011027. The next prime is 18267885011071. The reversal of 18267885011040 is 4011058876281.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 42189110664 + ... + 42189111096.

It is an arithmetic number, because the mean of its divisors is an integer number (47409387480).

Almost surely, 2^{18267885011040} is an apocalyptic number.

18267885011040 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 18267885011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36410409584640).

18267885011040 is an abundant number, since it is smaller than the sum of its proper divisors (54552934158240).

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

18267885011040 is a wasteful number, since it uses less digits than its factorization.

18267885011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 51.

The spelling of 18267885011040 in words is "eighteen trillion, two hundred sixty-seven billion, eight hundred eighty-five million, eleven thousand, forty".