85425802641664 has 81 divisors (see below), whose sum is σ = 171305235145597. Its totient is φ = 42516588326912.

The previous prime is 85425802641649. The next prime is 85425802641671. The reversal of 85425802641664 is 46614620852458.

The square root of 85425802641664 is 9242608.

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., 83178777657600 + 2247024984064 = 9120240^2 + 1499008^2 .

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, 35343731784 + ... + 35343734200.

Almost surely, 2^{85425802641664} is an apocalyptic number.

85425802641664 is the 9242608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85425802641664

85425802641664 is an abundant number, since it is smaller than the sum of its proper divisors (85879432503933).

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

85425802641664 is an frugal number, since it uses more digits than its factorization.

85425802641664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5328 (or 2658 counting only the distinct ones).

The product of its (nonzero) digits is 88473600, while the sum is 61.

The spelling of 85425802641664 in words is "eighty-five trillion, four hundred twenty-five billion, eight hundred two million, six hundred forty-one thousand, six hundred sixty-four".