85486300669440 has 2880 divisors, whose sum is σ = 362859295518720. Its totient is φ = 18509473382400.

The previous prime is 85486300669439. The next prime is 85486300669481. The reversal of 85486300669440 is 4496600368458.

85486300669440 is a `hidden beast` number, since 8 + 5 + 486 + 3 + 0 + 0 + 66 + 94 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 57644166939 + ... + 57644168421.

It is an arithmetic number, because the mean of its divisors is an integer number (125992810944).

Almost surely, 2^{85486300669440} is an apocalyptic number.

85486300669440 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 85486300669440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181429647759360).

85486300669440 is an abundant number, since it is smaller than the sum of its proper divisors (277372994849280).

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

85486300669440 is a wasteful number, since it uses less digits than its factorization.

85486300669440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 85486300669440 in words is "eighty-five trillion, four hundred eighty-six billion, three hundred million, six hundred sixty-nine thousand, four hundred forty".