86875438080 has 176 divisors, whose sum is σ = 289947953664. Its totient is φ = 22159441920.

The previous prime is 86875438021. The next prime is 86875438099. The reversal of 86875438080 is 8083457868.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 86875438080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230325 + ... + 476235.

Almost surely, 2^86875438080 is an apocalyptic number.

86875438080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86875438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144973976832).

86875438080 is an abundant number, since it is smaller than the sum of its proper divisors (203072515584).

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

86875438080 is a wasteful number, since it uses less digits than its factorization.

86875438080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245962 (or 245944 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 57.

The spelling of 86875438080 in words is "eighty-six billion, eight hundred seventy-five million, four hundred thirty-eight thousand, eighty".