85867584250560 has 896 divisors, whose sum is σ = 331570979020800. Its totient is φ = 18379309056000.

The previous prime is 85867584250549. The next prime is 85867584250583. The reversal of 85867584250560 is 6505248576858.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19744211266 + ... + 19744215614.

Almost surely, 2^{85867584250560} is an apocalyptic number.

85867584250560 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 85867584250560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165785489510400).

85867584250560 is an abundant number, since it is smaller than the sum of its proper divisors (245703394770240).

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

85867584250560 is a wasteful number, since it uses less digits than its factorization.

85867584250560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5225 (or 5215 counting only the distinct ones).

The product of its (nonzero) digits is 645120000, while the sum is 69.

The spelling of 85867584250560 in words is "eighty-five trillion, eight hundred sixty-seven billion, five hundred eighty-four million, two hundred fifty thousand, five hundred sixty".