85563519360 has 256 divisors, whose sum is σ = 298299179520. Its totient is φ = 20688896000.

The previous prime is 85563519359. The next prime is 85563519389. The reversal of 85563519360 is 6391536558.

It is a super-2 number, since 2×85563519360² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8464069 + ... + 8474171.

It is an arithmetic number, because the mean of its divisors is an integer number (1165231170).

Almost surely, 2^85563519360 is an apocalyptic number.

85563519360 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 85563519360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149149589760).

85563519360 is an abundant number, since it is smaller than the sum of its proper divisors (212735660160).

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

85563519360 is a wasteful number, since it uses less digits than its factorization.

85563519360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10537 (or 10525 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 51.

The spelling of 85563519360 in words is "eighty-five billion, five hundred sixty-three million, five hundred nineteen thousand, three hundred sixty".