16611213983040 has 1792 divisors, whose sum is σ = 64289537664000. Its totient is φ = 4074936532992.

The previous prime is 16611213983011. The next prime is 16611213983041. The reversal of 16611213983040 is 4038931211661.

16611213983040 is a `hidden beast` number, since 1 + 6 + 611 + 21 + 3 + 9 + 8 + 3 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16611213983041) 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, 105803910642 + ... + 105803910798.

Almost surely, 2^{16611213983040} is an apocalyptic number.

16611213983040 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 16611213983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32144768832000).

16611213983040 is an abundant number, since it is smaller than the sum of its proper divisors (47678323680960).

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

16611213983040 is a wasteful number, since it uses less digits than its factorization.

16611213983040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 16611213983040 in words is "sixteen trillion, six hundred eleven billion, two hundred thirteen million, nine hundred eighty-three thousand, forty".