18088738799040 has 2688 divisors, whose sum is σ = 83902710528000. Its totient is φ = 3469378977792.

The previous prime is 18088738798987. The next prime is 18088738799057. The reversal of 18088738799040 is 4099783788081.

18088738799040 is a `hidden beast` number, since 1 + 80 + 8 + 87 + 387 + 9 + 90 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 18088738799040.

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 33068992047 + ... + 33068992593.

It is an arithmetic number, because the mean of its divisors is an integer number (31213806000).

Almost surely, 2^{18088738799040} is an apocalyptic number.

18088738799040 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 18088738799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41951355264000).

18088738799040 is an abundant number, since it is smaller than the sum of its proper divisors (65813971728960).

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

18088738799040 is a wasteful number, since it uses less digits than its factorization.

18088738799040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 72.

The spelling of 18088738799040 in words is "eighteen trillion, eighty-eight billion, seven hundred thirty-eight million, seven hundred ninety-nine thousand, forty".