86587391520 has 288 divisors, whose sum is σ = 339174501120. Its totient is φ = 19704453120.

The previous prime is 86587391519. The next prime is 86587391521. The reversal of 86587391520 is 2519378568.

86587391520 is a `hidden beast` number, since 8 + 6 + 5 + 87 + 39 + 1 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (86587391519) and next prime (86587391521).

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (86587391521) 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, 2289565 + ... + 2327075.

It is an arithmetic number, because the mean of its divisors is an integer number (1177689240).

Almost surely, 2^86587391520 is an apocalyptic number.

86587391520 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 86587391520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169587250560).

86587391520 is an abundant number, since it is smaller than the sum of its proper divisors (252587109600).

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

86587391520 is a wasteful number, since it uses less digits than its factorization.

86587391520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37768 (or 37757 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 86587391520 in words is "eighty-six billion, five hundred eighty-seven million, three hundred ninety-one thousand, five hundred twenty".