86517506880 has 336 divisors, whose sum is σ = 341207652864. Its totient is φ = 19710812160.

The previous prime is 86517506857. The next prime is 86517506899. The reversal of 86517506880 is 8860571568.

86517506880 is a `hidden beast` number, since 8 + 6 + 51 + 7 + 506 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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, 6303225 + ... + 6316935.

Almost surely, 2^86517506880 is an apocalyptic number.

86517506880 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 86517506880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170603826432).

86517506880 is an abundant number, since it is smaller than the sum of its proper divisors (254690145984).

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

86517506880 is a wasteful number, since it uses less digits than its factorization.

86517506880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14054 (or 14041 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 86517506880 in words is "eighty-six billion, five hundred seventeen million, five hundred six thousand, eight hundred eighty".