87579317059584 has 480 divisors, whose sum is σ = 278144330956800. Its totient is φ = 24490043375616.

The previous prime is 87579317059579. The next prime is 87579317059667. The reversal of 87579317059584 is 48595071397578.

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 31 ways as a sum of consecutive naturals, for example, 792324129 + ... + 792434655.

It is an arithmetic number, because the mean of its divisors is an integer number (579467356160).

Almost surely, 2^{87579317059584} is an apocalyptic number.

87579317059584 is a gapful number since it is divisible by the number (84) 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 87579317059584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139072165478400).

87579317059584 is an abundant number, since it is smaller than the sum of its proper divisors (190565013897216).

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

87579317059584 is an equidigital number, since it uses as much as digits as its factorization.

87579317059584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110626 (or 110586 counting only the distinct ones).

The product of its (nonzero) digits is 2667168000, while the sum is 78.

The spelling of 87579317059584 in words is "eighty-seven trillion, five hundred seventy-nine billion, three hundred seventeen million, fifty-nine thousand, five hundred eighty-four".