86999615354880 has 576 divisors, whose sum is σ = 319474556593920. Its totient is φ = 21820647407616.

The previous prime is 86999615354867. The next prime is 86999615354921. The reversal of 86999615354880 is 8845351699968.

86999615354880 is a `hidden beast` number, since 8 + 6 + 9 + 9 + 9 + 61 + 5 + 3 + 548 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 86999615354880.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2455032522 + ... + 2455067958.

It is an arithmetic number, because the mean of its divisors is an integer number (554643327420).

Almost surely, 2^{86999615354880} is an apocalyptic number.

86999615354880 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 86999615354880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159737278296960).

86999615354880 is an abundant number, since it is smaller than the sum of its proper divisors (232474941239040).

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

86999615354880 is a wasteful number, since it uses less digits than its factorization.

86999615354880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37054 (or 37031 counting only the distinct ones).

The product of its (nonzero) digits is 4031078400, while the sum is 81.

The spelling of 86999615354880 in words is "eighty-six trillion, nine hundred ninety-nine billion, six hundred fifteen million, three hundred fifty-four thousand, eight hundred eighty".