85223620208896 has 81 divisors (see below), whose sum is σ = 184210797961449. Its totient is φ = 39333092318208.

The previous prime is 85223620208851. The next prime is 85223620208927. The reversal of 85223620208896 is 69880202632258.

The square root of 85223620208896 is 9231664.

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., 12607044409600 + 72616575799296 = 3550640^2 + 8521536^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1920163921 + ... + 1920208303.

Almost surely, 2^{85223620208896} is an apocalyptic number.

85223620208896 is the 9231664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85223620208896

85223620208896 is an abundant number, since it is smaller than the sum of its proper divisors (98987177752553).

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

85223620208896 is an frugal number, since it uses more digits than its factorization.

85223620208896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88808 (or 44398 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 61.

The spelling of 85223620208896 in words is "eighty-five trillion, two hundred twenty-three billion, six hundred twenty million, two hundred eight thousand, eight hundred ninety-six".