85901689881 has 48 divisors (see below), whose sum is σ = 143381546880. Its totient is φ = 48542457600.

The previous prime is 85901689871. The next prime is 85901689883. The reversal of 85901689881 is 18898610958.

It is not a de Polignac number, because 85901689881 - 2¹⁴ = 85901673497 is a prime.

It is a super-2 number, since 2×85901689881² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (85901689883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5610885 + ... + 5626173.

It is an arithmetic number, because the mean of its divisors is an integer number (2987115560).

Almost surely, 2^85901689881 is an apocalyptic number.

It is an amenable number.

85901689881 is a deficient number, since it is larger than the sum of its proper divisors (57479856999).

85901689881 is a wasteful number, since it uses less digits than its factorization.

85901689881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16286 (or 16283 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 63.

The spelling of 85901689881 in words is "eighty-five billion, nine hundred one million, six hundred eighty-nine thousand, eight hundred eighty-one".