86521123536 has 160 divisors (see below), whose sum is σ = 241214561280. Its totient is φ = 26635392000.

The previous prime is 86521123531. The next prime is 86521123547. The reversal of 86521123536 is 63532112568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86521123531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23566981 + ... + 23570651.

It is an arithmetic number, because the mean of its divisors is an integer number (1507591008).

Almost surely, 2^86521123536 is an apocalyptic number.

86521123536 is a gapful number since it is divisible by the number (86) 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 86521123536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120607280640).

86521123536 is an abundant number, since it is smaller than the sum of its proper divisors (154693437744).

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

86521123536 is a wasteful number, since it uses less digits than its factorization.

86521123536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4345 (or 4339 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The spelling of 86521123536 in words is "eighty-six billion, five hundred twenty-one million, one hundred twenty-three thousand, five hundred thirty-six".