16281760000 has 405 divisors, whose sum is σ = 46231898713. Its totient is φ = 5716480000.

The previous prime is 16281759997. The next prime is 16281760037. The reversal of 16281760000 is 6718261.

The square root of 16281760000 is 127600.

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

16281760000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 12177563904 + 4104196096 = 110352^2 + 64064^2 .

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 44 ways as a sum of consecutive naturals, for example, 561439986 + ... + 561440014.

Almost surely, 2^16281760000 is an apocalyptic number.

16281760000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16281760000 is the 127600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16281760000

16281760000 is an abundant number, since it is smaller than the sum of its proper divisors (29950138713).

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

16281760000 is an frugal number, since it uses more digits than its factorization.

16281760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The spelling of 16281760000 in words is "sixteen billion, two hundred eighty-one million, seven hundred sixty thousand".