85449831771024 has 400 divisors, whose sum is σ = 303595677264000. Its totient is φ = 23129275486464.

The previous prime is 85449831770921. The next prime is 85449831771061. The reversal of 85449831771024 is 42017713894458.

85449831771024 is a `hidden beast` number, since 8 + 5 + 4 + 498 + 31 + 7 + 7 + 102 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3387454 + ... + 13504610.

It is an arithmetic number, because the mean of its divisors is an integer number (758989193160).

Almost surely, 2^{85449831771024} is an apocalyptic number.

85449831771024 is a gapful number since it is divisible by the number (84) 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 85449831771024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151797838632000).

85449831771024 is an abundant number, since it is smaller than the sum of its proper divisors (218145845492976).

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

85449831771024 is a wasteful number, since it uses less digits than its factorization.

85449831771024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10117217 (or 10117188 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 85449831771024 in words is "eighty-five trillion, four hundred forty-nine billion, eight hundred thirty-one million, seven hundred seventy-one thousand, twenty-four".