86787710880 has 384 divisors, whose sum is σ = 302250590208. Its totient is φ = 20799148032.

The previous prime is 86787710843. The next prime is 86787710881. The reversal of 86787710880 is 8801778768.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (86787710881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65400777 + ... + 65402103.

It is an arithmetic number, because the mean of its divisors is an integer number (787110912).

Almost surely, 2^86787710880 is an apocalyptic number.

86787710880 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 86787710880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151125295104).

86787710880 is an abundant number, since it is smaller than the sum of its proper divisors (215462879328).

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

86787710880 is a wasteful number, since it uses less digits than its factorization.

86787710880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 60.

The spelling of 86787710880 in words is "eighty-six billion, seven hundred eighty-seven million, seven hundred ten thousand, eight hundred eighty".