85860856224 has 384 divisors, whose sum is σ = 295064985600. Its totient is φ = 23947176960.

The previous prime is 85860856223. The next prime is 85860856241. The reversal of 85860856224 is 42265806858.

It is a happy number.

85860856224 is a `hidden beast` number, since 8 + 5 + 8 + 6 + 0 + 8 + 5 + 622 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (85860856223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54238537 + ... + 54240119.

It is an arithmetic number, because the mean of its divisors is an integer number (768398400).

Almost surely, 2^85860856224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85860856224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147532492800).

85860856224 is an abundant number, since it is smaller than the sum of its proper divisors (209204129376).

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

85860856224 is a wasteful number, since it uses less digits than its factorization.

85860856224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 85860856224 in words is "eighty-five billion, eight hundred sixty million, eight hundred fifty-six thousand, two hundred twenty-four".