86809640960 has 288 divisors, whose sum is σ = 241590988800. Its totient is φ = 29330767872.

The previous prime is 86809640959. The next prime is 86809640971. The reversal of 86809640960 is 6904690868.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 86809640896 and 86809640905.

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, 582614966 + ... + 582615114.

It is an arithmetic number, because the mean of its divisors is an integer number (838857600).

Almost surely, 2^86809640960 is an apocalyptic number.

86809640960 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 86809640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120795494400).

86809640960 is an abundant number, since it is smaller than the sum of its proper divisors (154781347840).

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

86809640960 is an equidigital number, since it uses as much as digits as its factorization.

86809640960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 56.

The spelling of 86809640960 in words is "eighty-six billion, eight hundred nine million, six hundred forty thousand, nine hundred sixty".