86828309820 has 288 divisors, whose sum is σ = 311261024256. Its totient is φ = 19172505600.

The previous prime is 86828309803. The next prime is 86828309831. The reversal of 86828309820 is 2890382868.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26988852 + ... + 26992068.

Almost surely, 2^86828309820 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 86828309820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155630512128).

86828309820 is an abundant number, since it is smaller than the sum of its proper divisors (224432714436).

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

86828309820 is a wasteful number, since it uses less digits than its factorization.

86828309820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3961 (or 3956 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 86828309820 in words is "eighty-six billion, eight hundred twenty-eight million, three hundred nine thousand, eight hundred twenty".