18072059683440 has 960 divisors, whose sum is σ = 69543642921984. Its totient is φ = 3857485234176.

The previous prime is 18072059683387. The next prime is 18072059683451. The reversal of 18072059683440 is 4438695027081.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17000996349 + ... + 17000997411.

It is a 1-persistent number, because it is pandigital, but 2⋅18072059683440 = 36144119366880 is not.

Almost surely, 2^{18072059683440} is an apocalyptic number.

18072059683440 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 18072059683440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34771821460992).

18072059683440 is an abundant number, since it is smaller than the sum of its proper divisors (51471583238544).

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

18072059683440 is a wasteful number, since it uses less digits than its factorization.

18072059683440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 18072059683440 in words is "eighteen trillion, seventy-two billion, fifty-nine million, six hundred eighty-three thousand, four hundred forty".