16032016000000 has 2079 divisors, whose sum is σ = 55465113885111. Its totient is φ = 4612608000000.

The previous prime is 16032015999971. The next prime is 16032016000061. The reversal of 16032016000000 is 61023061.

The square root of 16032016000000 is 4004000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 7520933274624 + 8511082725376 = 2742432^2 + 2917376^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 1233231999994 + ... + 1233232000006.

Almost surely, 2^{16032016000000} is an apocalyptic number.

16032016000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16032016000000 is the 4004000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16032016000000

16032016000000 is an abundant number, since it is smaller than the sum of its proper divisors (39433097885111).

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

16032016000000 is an frugal number, since it uses more digits than its factorization.

16032016000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 16032016000000 its reverse (61023061), we get a palindrome (16032077023061).

The spelling of 16032016000000 in words is "sixteen trillion, thirty-two billion, sixteen million", and thus it is an aban number and an uban number.