85387352193 has 24 divisors (see below), whose sum is σ = 144899751360. Its totient is φ = 47769147360.

The previous prime is 85387352177. The next prime is 85387352203. The reversal of 85387352193 is 39125378358.

85387352193 is a `hidden beast` number, since 85 + 38 + 7 + 3 + 521 + 9 + 3 = 666.

It is not a de Polignac number, because 85387352193 - 2⁴ = 85387352177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85387352093) 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, 33171733 + ... + 33174306.

It is an arithmetic number, because the mean of its divisors is an integer number (6037489640).

Almost surely, 2^85387352193 is an apocalyptic number.

It is an amenable number.

85387352193 is a deficient number, since it is larger than the sum of its proper divisors (59512399167).

85387352193 is a wasteful number, since it uses less digits than its factorization.

85387352193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66346069 (or 66346066 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

It can be divided in two parts, 85387 and 352193, that added together give a triangular number (437580 = T₉₃₅).

The spelling of 85387352193 in words is "eighty-five billion, three hundred eighty-seven million, three hundred fifty-two thousand, one hundred ninety-three".