86531905152 has 1152 divisors, whose sum is σ = 337760841600. Its totient is φ = 21714739200.

The previous prime is 86531905151. The next prime is 86531905177. The reversal of 86531905152 is 25150913568.

86531905152 is a `hidden beast` number, since 86 + 53 + 1 + 9 + 0 + 515 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 86531905098 and 86531905107.

It is not an unprimeable number, because it can be changed into a prime (86531905151) 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 143 ways as a sum of consecutive naturals, for example, 840115533 + ... + 840115635.

It is an arithmetic number, because the mean of its divisors is an integer number (293195175).

Almost surely, 2^86531905152 is an apocalyptic number.

86531905152 is a gapful number since it is divisible by the number (82) 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 86531905152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168880420800).

86531905152 is an abundant number, since it is smaller than the sum of its proper divisors (251228936448).

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

86531905152 is a wasteful number, since it uses less digits than its factorization.

86531905152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 86531905152 in words is "eighty-six billion, five hundred thirty-one million, nine hundred five thousand, one hundred fifty-two".