85315399744 has 63 divisors (see below), whose sum is σ = 175476282397. Its totient is φ = 41154030848.

The previous prime is 85315399711. The next prime is 85315399747. The reversal of 85315399744 is 44799351358.

It is a happy number.

The square root of 85315399744 is 292088.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 44737326144 + 40578073600 = 211512^2 + 201440^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85315399747) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 67763787 + ... + 67765045.

Almost surely, 2^85315399744 is an apocalyptic number.

85315399744 is the 292088-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85315399744

85315399744 is an abundant number, since it is smaller than the sum of its proper divisors (90160882653).

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

85315399744 is an frugal number, since it uses more digits than its factorization.

85315399744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2588 (or 1290 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 58.

The spelling of 85315399744 in words is "eighty-five billion, three hundred fifteen million, three hundred ninety-nine thousand, seven hundred forty-four".