16005849488640 has 3456 divisors, whose sum is σ = 68547416555520. Its totient is φ = 3525451776000.

The previous prime is 16005849488633. The next prime is 16005849488653. The reversal of 16005849488640 is 4688494850061.

16005849488640 is a `hidden beast` number, since 1 + 6 + 0 + 0 + 5 + 8 + 494 + 88 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 225434499805 + ... + 225434499875.

It is an arithmetic number, because the mean of its divisors is an integer number (19834321920).

Almost surely, 2^{16005849488640} is an apocalyptic number.

16005849488640 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 16005849488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34273708277760).

16005849488640 is an abundant number, since it is smaller than the sum of its proper divisors (52541567066880).

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

16005849488640 is a wasteful number, since it uses less digits than its factorization.

16005849488640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 16005849488640 in words is "sixteen trillion, five billion, eight hundred forty-nine million, four hundred eighty-eight thousand, six hundred forty".