85322000512 has 64 divisors (see below), whose sum is σ = 194383929600. Its totient is φ = 36543227904.

The previous prime is 85322000483. The next prime is 85322000549. The reversal of 85322000512 is 21500022358.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

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 7 ways as a sum of consecutive naturals, for example, 1412073 + ... + 1471255.

It is an arithmetic number, because the mean of its divisors is an integer number (3037248900).

Almost surely, 2^85322000512 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 85322000512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97191964800).

85322000512 is an abundant number, since it is smaller than the sum of its proper divisors (109061929088).

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

85322000512 is a wasteful number, since it uses less digits than its factorization.

85322000512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60813 (or 60801 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The spelling of 85322000512 in words is "eighty-five billion, three hundred twenty-two million, five hundred twelve", and thus it is an aban number.