86041398656 has 64 divisors (see below), whose sum is σ = 173406658560. Its totient is φ = 42522278400.

The previous prime is 86041398629. The next prime is 86041398683. The reversal of 86041398656 is 65689314068.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (86041398629) and next prime (86041398683).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4395611 + ... + 4415141.

It is an arithmetic number, because the mean of its divisors is an integer number (2709479040).

Almost surely, 2^86041398656 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 86041398656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86703329280).

86041398656 is an abundant number, since it is smaller than the sum of its proper divisors (87365259904).

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

86041398656 is a wasteful number, since it uses less digits than its factorization.

86041398656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19943 (or 19931 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 56.

The spelling of 86041398656 in words is "eighty-six billion, forty-one million, three hundred ninety-eight thousand, six hundred fifty-six".