85208407105600 has 63 divisors (see below), whose sum is σ = 209666845283581. Its totient is φ = 34083215148800.

The previous prime is 85208407105579. The next prime is 85208407105609. The reversal of 85208407105600 is 650170480258.

The square root of 85208407105600 is 9230840.

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., 30675026558016 + 54533380547584 = 5538504^2 + 7384672^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85208407105609) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 369118215 + ... + 369348985.

Almost surely, 2^{85208407105600} is an apocalyptic number.

85208407105600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

85208407105600 is the 9230840-th square number.

It is an amenable number.

85208407105600 is an abundant number, since it is smaller than the sum of its proper divisors (124458438177981).

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

85208407105600 is an frugal number, since it uses more digits than its factorization.

85208407105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461564 (or 230778 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 46.

Adding to 85208407105600 its reverse (650170480258), we get a palindrome (85858577585858).

The spelling of 85208407105600 in words is "eighty-five trillion, two hundred eight billion, four hundred seven million, one hundred five thousand, six hundred".