85657862909808 has 960 divisors, whose sum is σ = 306843280773120. Its totient is φ = 22575887364096.

The previous prime is 85657862909687. The next prime is 85657862909833. The reversal of 85657862909808 is 80890926875658.

It is a super-2 number, since 2×85657862909808² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9472279335 + ... + 9472288377.

It is an arithmetic number, because the mean of its divisors is an integer number (319628417472).

Almost surely, 2^{85657862909808} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85657862909808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153421640386560).

85657862909808 is an abundant number, since it is smaller than the sum of its proper divisors (221185417863312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85657862909808 is a wasteful number, since it uses less digits than its factorization.

85657862909808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9496 (or 9478 counting only the distinct ones).

The product of its (nonzero) digits is 4180377600, while the sum is 81.

The spelling of 85657862909808 in words is "eighty-five trillion, six hundred fifty-seven billion, eight hundred sixty-two million, nine hundred nine thousand, eight hundred eight".