16048319709240 has 2304 divisors, whose sum is σ = 69155255070720. Its totient is φ = 3195480637440.

The previous prime is 16048319709239. The next prime is 16048319709263. The reversal of 16048319709240 is 4290791384061.

16048319709240 is a `hidden beast` number, since 1 + 6 + 0 + 483 + 1 + 9 + 70 + 92 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 57111457900 + ... + 57111458180.

It is an arithmetic number, because the mean of its divisors is an integer number (30015301680).

Almost surely, 2^{16048319709240} is an apocalyptic number.

16048319709240 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 16048319709240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34577627535360).

16048319709240 is an abundant number, since it is smaller than the sum of its proper divisors (53106935361480).

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

16048319709240 is a wasteful number, since it uses less digits than its factorization.

16048319709240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 16048319709240 in words is "sixteen trillion, forty-eight billion, three hundred nineteen million, seven hundred nine thousand, two hundred forty".