86752653312 has 208 divisors, whose sum is σ = 250961755520. Its totient is φ = 26494304256.

The previous prime is 86752653217. The next prime is 86752653319. The reversal of 86752653312 is 21335625768.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (208).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86752653319) 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 15 ways as a sum of consecutive naturals, for example, 22202463 + ... + 22206369.

Almost surely, 2^86752653312 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 86752653312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125480877760).

86752653312 is an abundant number, since it is smaller than the sum of its proper divisors (164209102208).

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

86752653312 is a wasteful number, since it uses less digits than its factorization.

86752653312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4086 (or 4064 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 48.

The spelling of 86752653312 in words is "eighty-six billion, seven hundred fifty-two million, six hundred fifty-three thousand, three hundred twelve".