86265410016 has 96 divisors (see below), whose sum is σ = 232692203520. Its totient is φ = 27962896896.

The previous prime is 86265409999. The next prime is 86265410017. The reversal of 86265410016 is 61001456268.

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 not an unprimeable number, because it can be changed into a prime (86265410017) 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, 7947505 + ... + 7958351.

It is an arithmetic number, because the mean of its divisors is an integer number (2423877120).

Almost surely, 2^86265410016 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 86265410016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116346101760).

86265410016 is an abundant number, since it is smaller than the sum of its proper divisors (146426793504).

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

86265410016 is a wasteful number, since it uses less digits than its factorization.

86265410016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13136 (or 13128 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 86265410016 in words is "eighty-six billion, two hundred sixty-five million, four hundred ten thousand, sixteen".