2016032000000 has 252 divisors, whose sum is σ = 5058939834585. Its totient is φ = 803200000000.

The previous prime is 2016031999997. The next prime is 2016032000023. The reversal of 2016032000000 is 2306102.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 343789904896 + 1672242095104 = 586336^2 + 1293152^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1004000.

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 20 ways as a sum of consecutive naturals, for example, 8031999875 + ... + 8032000125.

Almost surely, 2^{2016032000000} is an apocalyptic number.

2016032000000 is a gapful number since it is divisible by the number (20) 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 2016032000000

2016032000000 is an abundant number, since it is smaller than the sum of its proper divisors (3042907834585).

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

2016032000000 is an frugal number, since it uses more digits than its factorization.

2016032000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Multiplying 2016032000000 by its product of nonzero digits (72), we get a square (145154304000000 = 12048000²).

Adding to 2016032000000 its reverse (2306102), we get a palindrome (2016034306102).

The spelling of 2016032000000 in words is "two trillion, sixteen billion, thirty-two million", and thus it is an aban number and an uban number.