16056041728032 has 288 divisors, whose sum is σ = 47821926192768. Its totient is φ = 5100284141568.

The previous prime is 16056041727989. The next prime is 16056041728049. The reversal of 16056041728032 is 23082714065061.

16056041728032 is a `hidden beast` number, since 1 + 6 + 0 + 5 + 604 + 1 + 7 + 2 + 8 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5207926363 + ... + 5207929445.

It is an arithmetic number, because the mean of its divisors is an integer number (166048354836).

Almost surely, 2^{16056041728032} is an apocalyptic number.

16056041728032 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 16056041728032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23910963096384).

16056041728032 is an abundant number, since it is smaller than the sum of its proper divisors (31765884464736).

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

16056041728032 is a wasteful number, since it uses less digits than its factorization.

16056041728032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5792 (or 5781 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 16056041728032 in words is "sixteen trillion, fifty-six billion, forty-one million, seven hundred twenty-eight thousand, thirty-two".