85577088201 has 16 divisors (see below), whose sum is σ = 124620042240. Its totient is φ = 51804786320.

The previous prime is 85577088151. The next prime is 85577088253. The reversal of 85577088201 is 10288077558.

It is a cyclic number.

It is not a de Polignac number, because 85577088201 - 2¹³ = 85577080009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85577088281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1473981 + ... + 1530938.

It is an arithmetic number, because the mean of its divisors is an integer number (7788752640).

Almost surely, 2^85577088201 is an apocalyptic number.

It is an amenable number.

85577088201 is a deficient number, since it is larger than the sum of its proper divisors (39042954039).

85577088201 is a wasteful number, since it uses less digits than its factorization.

85577088201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3005796.

The product of its (nonzero) digits is 1254400, while the sum is 51.

The spelling of 85577088201 in words is "eighty-five billion, five hundred seventy-seven million, eighty-eight thousand, two hundred one".