86085903216 has 80 divisors (see below), whose sum is σ = 228022468128. Its totient is φ = 27969638400.

The previous prime is 86085903173. The next prime is 86085903217. The reversal of 86085903216 is 61230958068.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86085903217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2178676 + ... + 2217836.

Almost surely, 2^86085903216 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 86085903216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114011234064).

86085903216 is an abundant number, since it is smaller than the sum of its proper divisors (141936564912).

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

86085903216 is a wasteful number, since it uses less digits than its factorization.

86085903216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40330 (or 40324 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 86085903216 in words is "eighty-six billion, eighty-five million, nine hundred three thousand, two hundred sixteen".