16521353134272 has 896 divisors, whose sum is σ = 60310897920000. Its totient is φ = 4417683701760.

The previous prime is 16521353134249. The next prime is 16521353134303. The reversal of 16521353134272 is 27243135312561.

It is a happy number.

16521353134272 is a `hidden beast` number, since 1 + 6 + 5 + 2 + 1 + 3 + 531 + 3 + 42 + 72 = 666.

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 127 ways as a sum of consecutive naturals, for example, 1823745679 + ... + 1823754737.

It is an arithmetic number, because the mean of its divisors is an integer number (67311270000).

Almost surely, 2^{16521353134272} is an apocalyptic number.

16521353134272 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 16521353134272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30155448960000).

16521353134272 is an abundant number, since it is smaller than the sum of its proper divisors (43789544785728).

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

16521353134272 is a wasteful number, since it uses less digits than its factorization.

16521353134272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9299 (or 9269 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 16521353134272 in words is "sixteen trillion, five hundred twenty-one billion, three hundred fifty-three million, one hundred thirty-four thousand, two hundred seventy-two".