86599167072 has 96 divisors (see below), whose sum is σ = 248443542144. Its totient is φ = 26194022400.

The previous prime is 86599167023. The next prime is 86599167077. The reversal of 86599167072 is 27076199568.

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

It is a junction number, because it is equal to n+sod(n) for n = 86599166997 and 86599167015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86599167077) 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, 502672 + ... + 652592.

It is an arithmetic number, because the mean of its divisors is an integer number (2587953564).

Almost surely, 2^86599167072 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 86599167072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124221771072).

86599167072 is an abundant number, since it is smaller than the sum of its proper divisors (161844375072).

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

86599167072 is a wasteful number, since it uses less digits than its factorization.

86599167072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150492 (or 150484 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 60.

The spelling of 86599167072 in words is "eighty-six billion, five hundred ninety-nine million, one hundred sixty-seven thousand, seventy-two".