87284143586304 has 1584 divisors, whose sum is σ = 318025160613888. Its totient is φ = 23418308100096.

The previous prime is 87284143586291. The next prime is 87284143586309. The reversal of 87284143586304 is 40368534148278.

87284143586304 is a `hidden beast` number, since 8 + 7 + 2 + 8 + 4 + 1 + 43 + 586 + 3 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87284143586309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 79857404382 + ... + 79857405474.

Almost surely, 2^{87284143586304} is an apocalyptic number.

87284143586304 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 87284143586304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159012580306944).

87284143586304 is an abundant number, since it is smaller than the sum of its proper divisors (230741017027584).

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

87284143586304 is a wasteful number, since it uses less digits than its factorization.

87284143586304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 87284143586304 in words is "eighty-seven trillion, two hundred eighty-four billion, one hundred forty-three million, five hundred eighty-six thousand, three hundred four".