85760536801 has 3 divisors (see below), whose sum is σ = 85760829651. Its totient is φ = 85760243952.

The previous prime is 85760536789. The next prime is 85760536817. The reversal of 85760536801 is 10863506758.

The square root of 85760536801 is 292849.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 42911536801 + 42849000000 = 207151^2 + 207000^2 .

It is a de Polignac number, because none of the positive numbers 2^k-85760536801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85760536891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 146425 + ... + 439273.

It is an arithmetic number, because the mean of its divisors is an integer number (28586943217).

Almost surely, 2^85760536801 is an apocalyptic number.

85760536801 is the 292849-th square number.

85760536801 is the 146425-th centered octagonal number.

It is an amenable number.

85760536801 is a deficient number, since it is larger than the sum of its proper divisors (292850).

85760536801 is an frugal number, since it uses more digits than its factorization.

85760536801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585698 (or 292849 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 49.

Multiplying 85760536801 by its sum of digits (49), we get a square (4202266303249 = 2049943²).

The spelling of 85760536801 in words is "eighty-five billion, seven hundred sixty million, five hundred thirty-six thousand, eight hundred one".