86791678848 has 960 divisors, whose sum is σ = 320371167600. Its totient is φ = 23215030272.

The previous prime is 86791678847. The next prime is 86791678859. The reversal of 86791678848 is 84887619768.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86791678847) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 633515836 + ... + 633515972.

Almost surely, 2^86791678848 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 86791678848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160185583800).

86791678848 is an abundant number, since it is smaller than the sum of its proper divisors (233579488752).

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

86791678848 is a wasteful number, since it uses less digits than its factorization.

86791678848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 221 counting only the distinct ones).

The product of its digits is 260112384, while the sum is 72.

The spelling of 86791678848 in words is "eighty-six billion, seven hundred ninety-one million, six hundred seventy-eight thousand, eight hundred forty-eight".