85579335648 has 72 divisors (see below), whose sum is σ = 252379822968. Its totient is φ = 28526442624.

The previous prime is 85579335643. The next prime is 85579335649. The reversal of 85579335648 is 84653397558.

85579335648 is a `hidden beast` number, since 8 + 5 + 579 + 3 + 3 + 56 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85579335643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5495011 + ... + 5510562.

It is an arithmetic number, because the mean of its divisors is an integer number (3505275319).

Almost surely, 2^85579335648 is an apocalyptic number.

It is an amenable number.

85579335648 is an abundant number, since it is smaller than the sum of its proper divisors (166800487320).

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

85579335648 is a wasteful number, since it uses less digits than its factorization.

85579335648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11005598 (or 11005578 counting only the distinct ones).

The product of its digits is 108864000, while the sum is 63.

The spelling of 85579335648 in words is "eighty-five billion, five hundred seventy-nine million, three hundred thirty-five thousand, six hundred forty-eight".