85680314944 has 63 divisors (see below), whose sum is σ = 197818393923. Its totient is φ = 36713109888.

The previous prime is 85680314927. The next prime is 85680314969. The reversal of 85680314944 is 44941308658.

The square root of 85680314944 is 292712.

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

It is a super-2 number, since 2×85680314944² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85680314891 and 85680314900.

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 8 ways as a sum of consecutive naturals, for example, 16389259 + ... + 16394485.

Almost surely, 2^85680314944 is an apocalyptic number.

85680314944 is the 292712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85680314944

85680314944 is an abundant number, since it is smaller than the sum of its proper divisors (112138078979).

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

85680314944 is an frugal number, since it uses more digits than its factorization.

85680314944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10480 (or 5236 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 52.

The spelling of 85680314944 in words is "eighty-five billion, six hundred eighty million, three hundred fourteen thousand, nine hundred forty-four".