85866607682440 has 128 divisors (see below), whose sum is σ = 212912594294400. Its totient is φ = 30965450342400.

The previous prime is 85866607682393. The next prime is 85866607682467. The reversal of 85866607682440 is 4428670666858.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 85866607682440.

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, 412460296 + ... + 412668424.

It is an arithmetic number, because the mean of its divisors is an integer number (1663379642925).

Almost surely, 2^{85866607682440} 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 85866607682440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106456297147200).

85866607682440 is an abundant number, since it is smaller than the sum of its proper divisors (127045986611960).

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

85866607682440 is a wasteful number, since it uses less digits than its factorization.

85866607682440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226647 (or 226643 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 70.

The spelling of 85866607682440 in words is "eighty-five trillion, eight hundred sixty-six billion, six hundred seven million, six hundred eighty-two thousand, four hundred forty".