86953659168 has 96 divisors (see below), whose sum is σ = 231515516736. Its totient is φ = 28570779648.

The previous prime is 86953659167. The next prime is 86953659253. The reversal of 86953659168 is 86195635968.

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 = 86953659099 and 86953659108.

It is not an unprimeable number, because it can be changed into a prime (86953659167) 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, 19290771 + ... + 19295277.

It is an arithmetic number, because the mean of its divisors is an integer number (2411619966).

Almost surely, 2^86953659168 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 86953659168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115757758368).

86953659168 is an abundant number, since it is smaller than the sum of its proper divisors (144561857568).

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

86953659168 is a wasteful number, since it uses less digits than its factorization.

86953659168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7346 (or 7338 counting only the distinct ones).

The product of its digits is 83980800, while the sum is 66.

The spelling of 86953659168 in words is "eighty-six billion, nine hundred fifty-three million, six hundred fifty-nine thousand, one hundred sixty-eight".