85443610560 has 448 divisors, whose sum is σ = 339559879680. Its totient is φ = 17684398080.

The previous prime is 85443610559. The next prime is 85443610591. The reversal of 85443610560 is 6501634458.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×85443610560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 19882332 + ... + 19886628.

It is an arithmetic number, because the mean of its divisors is an integer number (757946160).

Almost surely, 2^85443610560 is an apocalyptic number.

85443610560 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 85443610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169779939840).

85443610560 is an abundant number, since it is smaller than the sum of its proper divisors (254116269120).

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

85443610560 is a wasteful number, since it uses less digits than its factorization.

85443610560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4604 (or 4594 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 85443610560 in words is "eighty-five billion, four hundred forty-three million, six hundred ten thousand, five hundred sixty".