85600271360 has 352 divisors, whose sum is σ = 230909460480. Its totient is φ = 30257971200.

The previous prime is 85600271359. The next prime is 85600271399. The reversal of 85600271360 is 6317200658.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 315868025 + ... + 315868295.

Almost surely, 2^85600271360 is an apocalyptic number.

85600271360 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 85600271360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115454730240).

85600271360 is an abundant number, since it is smaller than the sum of its proper divisors (145309189120).

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

85600271360 is a wasteful number, since it uses less digits than its factorization.

85600271360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The spelling of 85600271360 in words is "eighty-five billion, six hundred million, two hundred seventy-one thousand, three hundred sixty".