16032017999952 has 60 divisors (see below), whose sum is σ = 44867688736884. Its totient is φ = 5343969669120.

The previous prime is 16032017999951. The next prime is 16032017999953. The reversal of 16032017999952 is 25999971023061.

16032017999952 is a `hidden beast` number, since 1 + 6 + 0 + 320 + 179 + 9 + 99 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (16032017999951) and next prime (16032017999953).

It can be written as a sum of positive squares in 2 ways, for example, as 14552058160656 + 1479959839296 = 3814716^2 + 1216536^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 16032017999952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16032017999951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28503202 + ... + 29060222.

Almost surely, 2^{16032017999952} is an apocalyptic number.

16032017999952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16032017999952 is an abundant number, since it is smaller than the sum of its proper divisors (28835670736932).

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

16032017999952 is a wasteful number, since it uses less digits than its factorization.

16032017999952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756908 (or 756899 counting only the distinct ones).

The product of its (nonzero) digits is 16533720, while the sum is 63.

It can be divided in two parts, 1603201 and 7999952, that added together give a triangular number (9603153 = T₄₃₈₂).

The spelling of 16032017999952 in words is "sixteen trillion, thirty-two billion, seventeen million, nine hundred ninety-nine thousand, nine hundred fifty-two".