85131868320 has 240 divisors, whose sum is σ = 318118584168. Its totient is φ = 21366374400.

The previous prime is 85131868273. The next prime is 85131868361. The reversal of 85131868320 is 2386813158.

85131868320 is a `hidden beast` number, since 8 + 5 + 1 + 318 + 6 + 8 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 60121078416 + 25010789904 = 245196^2 + 158148^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27120 + ... + 413520.

Almost surely, 2^85131868320 is an apocalyptic number.

85131868320 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 85131868320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159059292084).

85131868320 is an abundant number, since it is smaller than the sum of its proper divisors (232986715848).

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

85131868320 is a wasteful number, since it uses less digits than its factorization.

85131868320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386445 (or 386428 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 85131868320 in words is "eighty-five billion, one hundred thirty-one million, eight hundred sixty-eight thousand, three hundred twenty".