16018320083040 has 576 divisors, whose sum is σ = 60676515244800. Its totient is φ = 3815273779200.

The previous prime is 16018320083039. The next prime is 16018320083063. The reversal of 16018320083040 is 4038002381061.

16018320083040 is a `hidden beast` number, since 1 + 601 + 8 + 3 + 2 + 0 + 0 + 8 + 3 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16018320082986 and 16018320083004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2215838146 + ... + 2215845374.

It is an arithmetic number, because the mean of its divisors is an integer number (105341172300).

Almost surely, 2^{16018320083040} is an apocalyptic number.

16018320083040 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 16018320083040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30338257622400).

16018320083040 is an abundant number, since it is smaller than the sum of its proper divisors (44658195161760).

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

16018320083040 is a wasteful number, since it uses less digits than its factorization.

16018320083040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9691 (or 9680 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 16018320083040 in words is "sixteen trillion, eighteen billion, three hundred twenty million, eighty-three thousand, forty".