85735214568 has 24 divisors (see below), whose sum is σ = 232199539650. Its totient is φ = 28578404832.

The previous prime is 85735214549. The next prime is 85735214633. The reversal of 85735214568 is 86541253758.

85735214568 is a `hidden beast` number, since 8 + 5 + 73 + 5 + 2 + 1 + 4 + 568 = 666.

It can be written as a sum of positive squares in only one way, i.e., 80600345604 + 5134868964 = 283902^2 + 71658^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 595383363 + ... + 595383506.

Almost surely, 2^85735214568 is an apocalyptic number.

It is an amenable number.

85735214568 is an abundant number, since it is smaller than the sum of its proper divisors (146464325082).

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

85735214568 is a wasteful number, since it uses less digits than its factorization.

85735214568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190766881 (or 1190766874 counting only the distinct ones).

The product of its digits is 8064000, while the sum is 54.

The spelling of 85735214568 in words is "eighty-five billion, seven hundred thirty-five million, two hundred fourteen thousand, five hundred sixty-eight".