86361456080 has 20 divisors (see below), whose sum is σ = 200790385572. Its totient is φ = 34544582400.

The previous prime is 86361456079. The next prime is 86361456109. The reversal of 86361456080 is 8065416368.

It can be written as a sum of positive squares in 2 ways, for example, as 18567877696 + 67793578384 = 136264^2 + 260372^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 539759021 + ... + 539759180.

Almost surely, 2^86361456080 is an apocalyptic number.

86361456080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86361456080 is an abundant number, since it is smaller than the sum of its proper divisors (114428929492).

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

86361456080 is a wasteful number, since it uses less digits than its factorization.

86361456080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079518214 (or 1079518208 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 47.

The spelling of 86361456080 in words is "eighty-six billion, three hundred sixty-one million, four hundred fifty-six thousand, eighty".