16081600240 has 80 divisors (see below), whose sum is σ = 38014174080. Its totient is φ = 6325862400.

The previous prime is 16081600219. The next prime is 16081600243. The reversal of 16081600240 is 4200618061.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 16081600199 and 16081600208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16081600243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1619290 + ... + 1629190.

It is an arithmetic number, because the mean of its divisors is an integer number (475177176).

Almost surely, 2^16081600240 is an apocalyptic number.

16081600240 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 16081600240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19007087040).

16081600240 is an abundant number, since it is smaller than the sum of its proper divisors (21932573840).

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

16081600240 is a wasteful number, since it uses less digits than its factorization.

16081600240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10250 (or 10244 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 16081600240 in words is "sixteen billion, eighty-one million, six hundred thousand, two hundred forty".