16081975344240 has 960 divisors, whose sum is σ = 61959234355200. Its totient is φ = 3705528508416.

The previous prime is 16081975344163. The next prime is 16081975344241. The reversal of 16081975344240 is 4244357918061.

16081975344240 is a `hidden beast` number, since 1 + 6 + 0 + 8 + 197 + 5 + 3 + 442 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16081975344241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6075546597 + ... + 6075549243.

It is an arithmetic number, because the mean of its divisors is an integer number (64540869120).

It is a 1-persistent number, because it is pandigital, but 2⋅16081975344240 = 32163950688480 is not.

Almost surely, 2^{16081975344240} is an apocalyptic number.

16081975344240 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 16081975344240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30979617177600).

16081975344240 is an abundant number, since it is smaller than the sum of its proper divisors (45877259010960).

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

16081975344240 is a wasteful number, since it uses less digits than its factorization.

16081975344240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3094 (or 3085 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 16081975344240 in words is "sixteen trillion, eighty-one billion, nine hundred seventy-five million, three hundred forty-four thousand, two hundred forty".