16518214103040 has 3328 divisors, whose sum is σ = 71336401920000. Its totient is φ = 3586280914944.

The previous prime is 16518214103021. The next prime is 16518214103047. The reversal of 16518214103040 is 4030141281561.

16518214103040 is a `hidden beast` number, since 1 + 65 + 182 + 1 + 410 + 3 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3328).

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 = 16518214102986 and 16518214103004.

It is not an unprimeable number, because it can be changed into a prime (16518214103047) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 209091317721 + ... + 209091317799.

Almost surely, 2^{16518214103040} is an apocalyptic number.

16518214103040 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 16518214103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35668200960000).

16518214103040 is an abundant number, since it is smaller than the sum of its proper divisors (54818187816960).

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

16518214103040 is a wasteful number, since it uses less digits than its factorization.

16518214103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 16518214103040 in words is "sixteen trillion, five hundred eighteen billion, two hundred fourteen million, one hundred three thousand, forty".