86896919136 has 96 divisors (see below), whose sum is σ = 234710729568. Its totient is φ = 28137574400.

The previous prime is 86896919101. The next prime is 86896919147. The reversal of 86896919136 is 63191969868.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 429340 + ... + 598436.

It is an arithmetic number, because the mean of its divisors is an integer number (2444903433).

Almost surely, 2^86896919136 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 86896919136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117355364784).

86896919136 is an abundant number, since it is smaller than the sum of its proper divisors (147813810432).

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

86896919136 is a wasteful number, since it uses less digits than its factorization.

86896919136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169264 (or 169256 counting only the distinct ones).

The product of its digits is 30233088, while the sum is 66.

The spelling of 86896919136 in words is "eighty-six billion, eight hundred ninety-six million, nine hundred nineteen thousand, one hundred thirty-six".