85282772631680 has 768 divisors, whose sum is σ = 237959496023040. Its totient is φ = 29140612300800.

The previous prime is 85282772631659. The next prime is 85282772631713. The reversal of 85282772631680 is 8613627728258.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11445811955 + ... + 11445819405.

It is an arithmetic number, because the mean of its divisors is an integer number (309843093780).

Almost surely, 2^{85282772631680} is an apocalyptic number.

85282772631680 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 85282772631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118979748011520).

85282772631680 is an abundant number, since it is smaller than the sum of its proper divisors (152676723391360).

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

85282772631680 is a wasteful number, since it uses less digits than its factorization.

85282772631680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7669 (or 7644 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 65.

The spelling of 85282772631680 in words is "eighty-five trillion, two hundred eighty-two billion, seven hundred seventy-two million, six hundred thirty-one thousand, six hundred eighty".