85563883136 has 128 divisors (see below), whose sum is σ = 181511366400. Its totient is φ = 40092991488.

The previous prime is 85563883099. The next prime is 85563883147. The reversal of 85563883136 is 63138836558.

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

It is a super-2 number, since 2×85563883136² (a number of 23 digits) contains 22 as substring.

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, 29412050 + ... + 29414958.

It is an arithmetic number, because the mean of its divisors is an integer number (1418057550).

Almost surely, 2^85563883136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85563883136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90755683200).

85563883136 is an abundant number, since it is smaller than the sum of its proper divisors (95947483264).

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

85563883136 is a wasteful number, since it uses less digits than its factorization.

85563883136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3146 (or 3134 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 56.

The spelling of 85563883136 in words is "eighty-five billion, five hundred sixty-three million, eight hundred eighty-three thousand, one hundred thirty-six".