85810066941456 has 480 divisors, whose sum is σ = 282664877040000. Its totient is φ = 23957630484480.

The previous prime is 85810066941383. The next prime is 85810066941479. The reversal of 85810066941456 is 65414966001858.

85810066941456 is a `hidden beast` number, since 8 + 5 + 8 + 100 + 6 + 69 + 414 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 85810066941393 and 85810066941402.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43492176886 + ... + 43492178858.

It is an arithmetic number, because the mean of its divisors is an integer number (588885160500).

Almost surely, 2^{85810066941456} 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 85810066941456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141332438520000).

85810066941456 is an abundant number, since it is smaller than the sum of its proper divisors (196854810098544).

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

85810066941456 is a wasteful number, since it uses less digits than its factorization.

85810066941456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4919 (or 4910 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 85810066941456 in words is "eighty-five trillion, eight hundred ten billion, sixty-six million, nine hundred forty-one thousand, four hundred fifty-six".