86136958080 has 384 divisors, whose sum is σ = 306913838400. Its totient is φ = 22250004480.

The previous prime is 86136958051. The next prime is 86136958087. The reversal of 86136958080 is 8085963168.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (86136958087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23539291 + ... + 23542949.

Almost surely, 2^86136958080 is an apocalyptic number.

86136958080 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 86136958080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153456919200).

86136958080 is an abundant number, since it is smaller than the sum of its proper divisors (220776880320).

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

86136958080 is a wasteful number, since it uses less digits than its factorization.

86136958080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3812 (or 3797 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 86136958080 in words is "eighty-six billion, one hundred thirty-six million, nine hundred fifty-eight thousand, eighty".