16032381281280 has 4752 divisors, whose sum is σ = 78642140718960. Its totient is φ = 2982225641472.

The previous prime is 16032381281269. The next prime is 16032381281281. The reversal of 16032381281280 is 8218218323061.

16032381281280 is a `hidden beast` number, since 1 + 60 + 3 + 2 + 38 + 1 + 281 + 280 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1262441005056 + 14769940276224 = 1123584^2 + 3843168^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16032381281281) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 180139115476 + ... + 180139115564.

Almost surely, 2^{16032381281280} is an apocalyptic number.

16032381281280 is a gapful number since it is divisible by the number (10) 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 16032381281280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39321070359480).

16032381281280 is an abundant number, since it is smaller than the sum of its proper divisors (62609759437680).

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

16032381281280 is a wasteful number, since it uses less digits than its factorization.

16032381281280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 16032381281280 in words is "sixteen trillion, thirty-two billion, three hundred eighty-one million, two hundred eighty-one thousand, two hundred eighty".