85964283744 has 96 divisors (see below), whose sum is σ = 229948637184. Its totient is φ = 28113822720.

The previous prime is 85964283721. The next prime is 85964283749. The reversal of 85964283744 is 44738246958.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85964283749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1306417 + ... + 1370639.

It is an arithmetic number, because the mean of its divisors is an integer number (2395298304).

Almost surely, 2^85964283744 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 85964283744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114974318592).

85964283744 is an abundant number, since it is smaller than the sum of its proper divisors (143984353440).

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

85964283744 is a wasteful number, since it uses less digits than its factorization.

85964283744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64500 (or 64492 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 60.

The spelling of 85964283744 in words is "eighty-five billion, nine hundred sixty-four million, two hundred eighty-three thousand, seven hundred forty-four".