85657750421760 has 1152 divisors, whose sum is σ = 351476742758400. Its totient is φ = 19523333652480.

The previous prime is 85657750421717. The next prime is 85657750421767. The reversal of 85657750421760 is 6712405775658.

It is a happy number.

85657750421760 is a `hidden beast` number, since 8 + 5 + 6 + 57 + 7 + 504 + 2 + 1 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (85657750421767) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 6585505177 + ... + 6585518183.

It is an arithmetic number, because the mean of its divisors is an integer number (305101339200).

Almost surely, 2^{85657750421760} is an apocalyptic number.

85657750421760 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 85657750421760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175738371379200).

85657750421760 is an abundant number, since it is smaller than the sum of its proper divisors (265818992336640).

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

85657750421760 is a wasteful number, since it uses less digits than its factorization.

85657750421760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14084 (or 14064 counting only the distinct ones).

The product of its (nonzero) digits is 98784000, while the sum is 63.

The spelling of 85657750421760 in words is "eighty-five trillion, six hundred fifty-seven billion, seven hundred fifty million, four hundred twenty-one thousand, seven hundred sixty".