16085393635600 has 135 divisors (see below), whose sum is σ = 38976531102117. Its totient is φ = 6379452051840.

The previous prime is 16085393635567. The next prime is 16085393635651. The reversal of 16085393635600 is 653639358061.

It is a happy number.

The square root of 16085393635600 is 4010660.

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

It can be written as a sum of positive squares in only one way, i.e., 5790741708816 + 10294651926784 = 2406396^2 + 3208528^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10187075611 + ... + 10187077189.

Almost surely, 2^{16085393635600} is an apocalyptic number.

16085393635600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16085393635600 is the 4010660-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16085393635600

16085393635600 is an abundant number, since it is smaller than the sum of its proper divisors (22891137466517).

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

16085393635600 is an frugal number, since it uses more digits than its factorization.

16085393635600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3430 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 55.

The spelling of 16085393635600 in words is "sixteen trillion, eighty-five billion, three hundred ninety-three million, six hundred thirty-five thousand, six hundred".