86807531520 has 312 divisors, whose sum is σ = 312058227936. Its totient is φ = 23147347968.

The previous prime is 86807531483. The next prime is 86807531597. The reversal of 86807531520 is 2513570868.

86807531520 is a `hidden beast` number, since 8 + 68 + 0 + 7 + 531 + 52 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4967919 + ... + 4985361.

It is an arithmetic number, because the mean of its divisors is an integer number (1000186628).

Almost surely, 2^86807531520 is an apocalyptic number.

86807531520 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 86807531520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156029113968).

86807531520 is an abundant number, since it is smaller than the sum of its proper divisors (225250696416).

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

86807531520 is an equidigital number, since it uses as much as digits as its factorization.

86807531520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17487 (or 17453 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 86807531520 in words is "eighty-six billion, eight hundred seven million, five hundred thirty-one thousand, five hundred twenty".