85675547496 has 768 divisors, whose sum is σ = 301161369600. Its totient is φ = 19784540160.

The previous prime is 85675547491. The next prime is 85675547521. The reversal of 85675547496 is 69474557658.

It is a Harshad number since it is a multiple of its sum of digits (66).

Its product of digits (254016000) is a multiple of the sum of its prime factors (270).

It is not an unprimeable number, because it can be changed into a prime (85675547491) 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 191 ways as a sum of consecutive naturals, for example, 831801381 + ... + 831801483.

It is an arithmetic number, because the mean of its divisors is an integer number (392137200).

Almost surely, 2^85675547496 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 85675547496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150580684800).

85675547496 is an abundant number, since it is smaller than the sum of its proper divisors (215485822104).

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

85675547496 is a wasteful number, since it uses less digits than its factorization.

85675547496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 255 counting only the distinct ones).

The product of its digits is 254016000, while the sum is 66.

The spelling of 85675547496 in words is "eighty-five billion, six hundred seventy-five million, five hundred forty-seven thousand, four hundred ninety-six".