85313501280 has 288 divisors, whose sum is σ = 337691337984. Its totient is φ = 19209028608.

The previous prime is 85313501279. The next prime is 85313501303. The reversal of 85313501280 is 8210531358.

85313501280 is a `hidden beast` number, since 8 + 531 + 35 + 0 + 12 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 612199 + ... + 738521.

It is an arithmetic number, because the mean of its divisors is an integer number (1172539368).

Almost surely, 2^85313501280 is an apocalyptic number.

85313501280 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 85313501280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168845668992).

85313501280 is an abundant number, since it is smaller than the sum of its proper divisors (252377836704).

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

85313501280 is a wasteful number, since it uses less digits than its factorization.

85313501280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126418 (or 126407 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 85313501280 in words is "eighty-five billion, three hundred thirteen million, five hundred one thousand, two hundred eighty".