86416597088 has 48 divisors (see below), whose sum is σ = 179273445120. Its totient is φ = 40891568256.

The previous prime is 86416597087. The next prime is 86416597093. The reversal of 86416597088 is 88079561468.

It is a Cunningham number, because it is equal to 293967²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 86416597088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86416597081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 514445 + ... + 661427.

It is an arithmetic number, because the mean of its divisors is an integer number (3734863440).

Almost surely, 2^86416597088 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 86416597088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89636722560).

86416597088 is an abundant number, since it is smaller than the sum of its proper divisors (92856848032).

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

86416597088 is a wasteful number, since it uses less digits than its factorization.

86416597088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147979 (or 147971 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 62.

The spelling of 86416597088 in words is "eighty-six billion, four hundred sixteen million, five hundred ninety-seven thousand, eighty-eight".