16068972405240 has 256 divisors, whose sum is σ = 55115121600000. Its totient is φ = 4162022452224.

The previous prime is 16068972405209. The next prime is 16068972405247. The reversal of 16068972405240 is 4250427986061.

16068972405240 is a `hidden beast` number, since 1 + 6 + 0 + 6 + 8 + 9 + 72 + 40 + 524 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16068972405247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7346236 + ... + 9279284.

It is an arithmetic number, because the mean of its divisors is an integer number (215293443750).

Almost surely, 2^{16068972405240} is an apocalyptic number.

16068972405240 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 16068972405240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27557560800000).

16068972405240 is an abundant number, since it is smaller than the sum of its proper divisors (39046149194760).

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

16068972405240 is a wasteful number, since it uses less digits than its factorization.

16068972405240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933291 (or 1933281 counting only the distinct ones).

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

The spelling of 16068972405240 in words is "sixteen trillion, sixty-eight billion, nine hundred seventy-two million, four hundred five thousand, two hundred forty".