87584666577408 has 3360 divisors, whose sum is σ = 360164987715456. Its totient is φ = 20692869120000.

The previous prime is 87584666577403. The next prime is 87584666577437. The reversal of 87584666577408 is 80477566648578.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (87584666577403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 415093206423 + ... + 415093206633.

Almost surely, 2^{87584666577408} is an apocalyptic number.

87584666577408 is a gapful number since it is divisible by the number (88) 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 87584666577408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180082493857728).

87584666577408 is an abundant number, since it is smaller than the sum of its proper divisors (272580321138048).

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

87584666577408 is a wasteful number, since it uses less digits than its factorization.

87584666577408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 15173222400, while the sum is 81.

The spelling of 87584666577408 in words is "eighty-seven trillion, five hundred eighty-four billion, six hundred sixty-six million, five hundred seventy-seven thousand, four hundred eight".