16255733785600 has 297 divisors, whose sum is σ = 40837403273043. Its totient is φ = 6415850864640.

The previous prime is 16255733785573. The next prime is 16255733785619. The reversal of 16255733785600 is 658733755261.

The square root of 16255733785600 is 4031840.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8270271652864 + 7985462132736 = 2875808^2 + 2825856^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 72895667089 + ... + 72895667311.

Almost surely, 2^{16255733785600} is an apocalyptic number.

16255733785600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16255733785600 is the 4031840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16255733785600

16255733785600 is an abundant number, since it is smaller than the sum of its proper divisors (24581669487443).

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

16255733785600 is an frugal number, since it uses more digits than its factorization.

16255733785600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 31752000, while the sum is 58.

The spelling of 16255733785600 in words is "sixteen trillion, two hundred fifty-five billion, seven hundred thirty-three million, seven hundred eighty-five thousand, six hundred".