86678135280 has 960 divisors, whose sum is σ = 365685166080. Its totient is φ = 18114969600.

The previous prime is 86678135279. The next prime is 86678135287. The reversal of 86678135280 is 8253187668.

86678135280 is a `hidden beast` number, since 86 + 67 + 81 + 352 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86678135287) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 79302414 + ... + 79303506.

It is an arithmetic number, because the mean of its divisors is an integer number (380922048).

Almost surely, 2^86678135280 is an apocalyptic number.

86678135280 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 86678135280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182842583040).

86678135280 is an abundant number, since it is smaller than the sum of its proper divisors (279007030800).

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

86678135280 is a wasteful number, since it uses less digits than its factorization.

86678135280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 86678135280 in words is "eighty-six billion, six hundred seventy-eight million, one hundred thirty-five thousand, two hundred eighty".