86790832128 has 1088 divisors, whose sum is σ = 352318848000. Its totient is φ = 20808990720.

The previous prime is 86790832111. The next prime is 86790832129. The reversal of 86790832128 is 82123809768.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86790832129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6676217850 + ... + 6676217862.

Almost surely, 2^86790832128 is an apocalyptic number.

86790832128 is a gapful number since it is divisible by the number (88) 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 86790832128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176159424000).

86790832128 is an abundant number, since it is smaller than the sum of its proper divisors (265528015872).

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

86790832128 is an equidigital number, since it uses as much as digits as its factorization.

86790832128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 86790832128 in words is "eighty-six billion, seven hundred ninety million, eight hundred thirty-two thousand, one hundred twenty-eight".