85676379280 has 80 divisors (see below), whose sum is σ = 209849872320. Its totient is φ = 32440794624.

The previous prime is 85676379277. The next prime is 85676379331. The reversal of 85676379280 is 8297367658.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1928194 + ... + 1972126.

It is an arithmetic number, because the mean of its divisors is an integer number (2623123404).

Almost surely, 2^85676379280 is an apocalyptic number.

85676379280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85676379280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104924936160).

85676379280 is an abundant number, since it is smaller than the sum of its proper divisors (124173493040).

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

85676379280 is a wasteful number, since it uses less digits than its factorization.

85676379280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45248 (or 45242 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 61.

The spelling of 85676379280 in words is "eighty-five billion, six hundred seventy-six million, three hundred seventy-nine thousand, two hundred eighty".