85745963264 has 144 divisors (see below), whose sum is σ = 195607243440. Its totient is φ = 37162844160.

The previous prime is 85745963243. The next prime is 85745963297. The reversal of 85745963264 is 46236954758.

It can be written as a sum of positive squares in 8 ways, for example, as 201412864 + 85544550400 = 14192^2 + 292480^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29474642 + ... + 29477550.

It is an arithmetic number, because the mean of its divisors is an integer number (1358383635).

Almost surely, 2^85745963264 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 85745963264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97803621720).

85745963264 is an abundant number, since it is smaller than the sum of its proper divisors (109861280176).

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

85745963264 is a wasteful number, since it uses less digits than its factorization.

85745963264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3476 (or 3462 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 59.

The spelling of 85745963264 in words is "eighty-five billion, seven hundred forty-five million, nine hundred sixty-three thousand, two hundred sixty-four".