86758628736 has 128 divisors (see below), whose sum is σ = 248300640000. Its totient is φ = 26681960448.

The previous prime is 86758628731. The next prime is 86758628771. The reversal of 86758628736 is 63782685768.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86758628731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17464525 + ... + 17469491.

It is an arithmetic number, because the mean of its divisors is an integer number (1939848750).

Almost surely, 2^86758628736 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 86758628736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124150320000).

86758628736 is an abundant number, since it is smaller than the sum of its proper divisors (161542011264).

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

86758628736 is a wasteful number, since it uses less digits than its factorization.

86758628736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8496 (or 8484 counting only the distinct ones).

The product of its digits is 162570240, while the sum is 66.

The spelling of 86758628736 in words is "eighty-six billion, seven hundred fifty-eight million, six hundred twenty-eight thousand, seven hundred thirty-six".