85910687280 has 1440 divisors, whose sum is σ = 366771525120. Its totient is φ = 17882726400.

The previous prime is 85910687257. The next prime is 85910687293. The reversal of 85910687280 is 8278601958.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1210009645 + ... + 1210009715.

It is an arithmetic number, because the mean of its divisors is an integer number (254702448).

Almost surely, 2^85910687280 is an apocalyptic number.

85910687280 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 85910687280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183385762560).

85910687280 is an abundant number, since it is smaller than the sum of its proper divisors (280860837840).

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

85910687280 is a wasteful number, since it uses less digits than its factorization.

85910687280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 85910687280 in words is "eighty-five billion, nine hundred ten million, six hundred eighty-seven thousand, two hundred eighty".