16047735080832 has 576 divisors, whose sum is σ = 57914873780400. Its totient is φ = 4227671605248.

The previous prime is 16047735080831. The next prime is 16047735080843. The reversal of 16047735080832 is 23808053774061.

It is a happy number.

16047735080832 is a `hidden beast` number, since 1 + 60 + 4 + 7 + 73 + 508 + 0 + 8 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16047735080831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 687581419 + ... + 687604757.

Almost surely, 2^{16047735080832} is an apocalyptic number.

16047735080832 is a gapful number since it is divisible by the number (12) 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 16047735080832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28957436890200).

16047735080832 is an abundant number, since it is smaller than the sum of its proper divisors (41867138699568).

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

16047735080832 is a wasteful number, since it uses less digits than its factorization.

16047735080832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24323 (or 24301 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 16047735080832 in words is "sixteen trillion, forty-seven billion, seven hundred thirty-five million, eighty thousand, eight hundred thirty-two".