85176094479840 has 768 divisors, whose sum is σ = 368237471293440. Its totient is φ = 17906318991360.

The previous prime is 85176094479811. The next prime is 85176094479851. The reversal of 85176094479840 is 4897449067158.

85176094479840 is a `hidden beast` number, since 8 + 5 + 1 + 7 + 60 + 94 + 479 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 108503145 + ... + 109285335.

It is an arithmetic number, because the mean of its divisors is an integer number (479475874080).

Almost surely, 2^{85176094479840} is an apocalyptic number.

85176094479840 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 85176094479840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184118735646720).

85176094479840 is an abundant number, since it is smaller than the sum of its proper divisors (283061376813600).

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

85176094479840 is a wasteful number, since it uses less digits than its factorization.

85176094479840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782512 (or 782498 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 85176094479840 in words is "eighty-five trillion, one hundred seventy-six billion, ninety-four million, four hundred seventy-nine thousand, eight hundred forty".