85753440225600 has 672 divisors, whose sum is σ = 327886663910400. Its totient is φ = 19217341808640.

The previous prime is 85753440225577. The next prime is 85753440225611. The reversal of 85753440225600 is 652204435758.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

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, 348611451 + ... + 348857349.

It is an arithmetic number, because the mean of its divisors is an integer number (487926583200).

Almost surely, 2^{85753440225600} is an apocalyptic number.

85753440225600 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 85753440225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163943331955200).

85753440225600 is an abundant number, since it is smaller than the sum of its proper divisors (242133223684800).

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

85753440225600 is a wasteful number, since it uses less digits than its factorization.

85753440225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246135 (or 246120 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 51.

The spelling of 85753440225600 in words is "eighty-five trillion, seven hundred fifty-three billion, four hundred forty million, two hundred twenty-five thousand, six hundred".