18005531040 has 768 divisors, whose sum is σ = 75235184640. Its totient is φ = 3936522240.

The previous prime is 18005531021. The next prime is 18005531077. The reversal of 18005531040 is 4013550081.

18005531040 is a `hidden beast` number, since 1 + 8 + 0 + 0 + 553 + 104 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 18005530995 and 18005531013.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 79319407 + ... + 79319633.

It is an arithmetic number, because the mean of its divisors is an integer number (97962480).

Almost surely, 2^18005531040 is an apocalyptic number.

18005531040 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 18005531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37617592320).

18005531040 is an abundant number, since it is smaller than the sum of its proper divisors (57229653600).

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

18005531040 is a wasteful number, since it uses less digits than its factorization.

18005531040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 18005531040 in words is "eighteen billion, five million, five hundred thirty-one thousand, forty".