85901037340191 has 8 divisors (see below), whose sum is σ = 117630249330864. Its totient is φ = 55719591788160.

The previous prime is 85901037340133. The next prime is 85901037340199. The reversal of 85901037340191 is 19104373010958.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 85901037340191 - 2⁶ = 85901037340127 is a prime.

It is a super-2 number, since 2×85901037340191² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85901037340199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 386941609530 + ... + 386941609751.

It is an arithmetic number, because the mean of its divisors is an integer number (14703781166358).

Almost surely, 2^{85901037340191} is an apocalyptic number.

85901037340191 is a deficient number, since it is larger than the sum of its proper divisors (31729211990673).

85901037340191 is a wasteful number, since it uses less digits than its factorization.

85901037340191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773883219321.

The product of its (nonzero) digits is 816480, while the sum is 51.

The spelling of 85901037340191 in words is "eighty-five trillion, nine hundred one billion, thirty-seven million, three hundred forty thousand, one hundred ninety-one".