85275876000000 has 3024 divisors, whose sum is σ = 368633875176000. Its totient is φ = 17340825600000.

The previous prime is 85275875999933. The next prime is 85275876000037. The reversal of 85275876000000 is 67857258.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 335 ways as a sum of consecutive naturals, for example, 189923999776 + ... + 189924000224.

It is an arithmetic number, because the mean of its divisors is an integer number (121902736500).

Almost surely, 2^{85275876000000} is an apocalyptic number.

85275876000000 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 85275876000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184316937588000).

85275876000000 is an abundant number, since it is smaller than the sum of its proper divisors (283357999176000).

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

85275876000000 is an equidigital number, since it uses as much as digits as its factorization.

85275876000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 48.

The spelling of 85275876000000 in words is "eighty-five trillion, two hundred seventy-five billion, eight hundred seventy-six million", and thus it is an aban number.