85201384575 has 24 divisors (see below), whose sum is σ = 146990913408. Its totient is φ = 43465053280.

The previous prime is 85201384493. The next prime is 85201384579. The reversal of 85201384575 is 57548310258.

It is not a de Polignac number, because 85201384575 - 2⁸ = 85201384319 is a prime.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85201384579) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24694329 + ... + 24697778.

It is an arithmetic number, because the mean of its divisors is an integer number (6124621392).

Almost surely, 2^85201384575 is an apocalyptic number.

85201384575 is a deficient number, since it is larger than the sum of its proper divisors (61789528833).

85201384575 is a wasteful number, since it uses less digits than its factorization.

85201384575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49392143 (or 49392138 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 48.

The spelling of 85201384575 in words is "eighty-five billion, two hundred one million, three hundred eighty-four thousand, five hundred seventy-five".