85176140073984 has 1320 divisors, whose sum is σ = 277751208430080. Its totient is φ = 25922521497600.

The previous prime is 85176140073949. The next prime is 85176140073989. The reversal of 85176140073984 is 48937004167158.

85176140073984 is a `hidden beast` number, since 8 + 5 + 1 + 7 + 614 + 0 + 0 + 7 + 3 + 9 + 8 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85176140073989) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 314303099769 + ... + 314303100039.

It is an arithmetic number, because the mean of its divisors is an integer number (210417582144).

Almost surely, 2^{85176140073984} 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 85176140073984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138875604215040).

85176140073984 is an abundant number, since it is smaller than the sum of its proper divisors (192575068356096).

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

85176140073984 is a wasteful number, since it uses less digits than its factorization.

85176140073984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 85176140073984 in words is "eighty-five trillion, one hundred seventy-six billion, one hundred forty million, seventy-three thousand, nine hundred eighty-four".