86323547520 has 384 divisors, whose sum is σ = 341734386240. Its totient is φ = 19669450752.

The previous prime is 86323547509. The next prime is 86323547551. The reversal of 86323547520 is 2574532368.

86323547520 is a `hidden beast` number, since 8 + 63 + 23 + 5 + 47 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13584664 + ... + 13591016.

Almost surely, 2^86323547520 is an apocalyptic number.

86323547520 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 86323547520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170867193120).

86323547520 is an abundant number, since it is smaller than the sum of its proper divisors (255410838720).

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

86323547520 is a wasteful number, since it uses less digits than its factorization.

86323547520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6722 (or 6707 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 86323547520 in words is "eighty-six billion, three hundred twenty-three million, five hundred forty-seven thousand, five hundred twenty".