85545426560 has 128 divisors (see below), whose sum is σ = 223291088640. Its totient is φ = 31080591360.

The previous prime is 85545426553. The next prime is 85545426583. The reversal of 85545426560 is 6562454558.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 85545426499 and 85545426508.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9337502 + ... + 9346658.

It is an arithmetic number, because the mean of its divisors is an integer number (1744461630).

Almost surely, 2^85545426560 is an apocalyptic number.

85545426560 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 85545426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111645544320).

85545426560 is an abundant number, since it is smaller than the sum of its proper divisors (137745662080).

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

85545426560 is a wasteful number, since it uses less digits than its factorization.

85545426560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10514 (or 10502 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 50.

The spelling of 85545426560 in words is "eighty-five billion, five hundred forty-five million, four hundred twenty-six thousand, five hundred sixty".