16531672028256 has 576 divisors, whose sum is σ = 59018382259200. Its totient is φ = 4264258867200.

The previous prime is 16531672028251. The next prime is 16531672028279. The reversal of 16531672028256 is 65282027613561.

16531672028256 is a `hidden beast` number, since 1 + 6 + 5 + 316 + 72 + 0 + 2 + 8 + 256 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16531672028251) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3367622730 + ... + 3367627638.

It is an arithmetic number, because the mean of its divisors is an integer number (102462469200).

Almost surely, 2^{16531672028256} is an apocalyptic number.

16531672028256 is a gapful number since it is divisible by the number (16) 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 16531672028256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29509191129600).

16531672028256 is an abundant number, since it is smaller than the sum of its proper divisors (42486710230944).

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

16531672028256 is a wasteful number, since it uses less digits than its factorization.

16531672028256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5963 (or 5952 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 16531672028256 in words is "sixteen trillion, five hundred thirty-one billion, six hundred seventy-two million, twenty-eight thousand, two hundred fifty-six".