18509053933440 has 1152 divisors, whose sum is σ = 77302409577120. Its totient is φ = 4065680424960.

The previous prime is 18509053933421. The next prime is 18509053933457. The reversal of 18509053933440 is 4433935090581.

18509053933440 is a `hidden beast` number, since 1 + 8 + 50 + 90 + 5 + 39 + 33 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 775301344 + ... + 775325216.

Almost surely, 2^{18509053933440} is an apocalyptic number.

18509053933440 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 18509053933440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38651204788560).

18509053933440 is an abundant number, since it is smaller than the sum of its proper divisors (58793355643680).

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

18509053933440 is a wasteful number, since it uses less digits than its factorization.

18509053933440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24020 (or 23998 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 18509053933440 in words is "eighteen trillion, five hundred nine billion, fifty-three million, nine hundred thirty-three thousand, four hundred forty".