87284437710066 has 24 divisors (see below), whose sum is σ = 199069770216720. Its totient is φ = 27563506645176.

The previous prime is 87284437710023. The next prime is 87284437710079. The reversal of 87284437710066 is 66001773448278.

87284437710066 is a `hidden beast` number, since 8 + 7 + 28 + 443 + 7 + 7 + 100 + 66 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 87284437709985 and 87284437710012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127608826720 + ... + 127608827403.

It is an arithmetic number, because the mean of its divisors is an integer number (8294573759030).

Almost surely, 2^{87284437710066} is an apocalyptic number.

87284437710066 is an abundant number, since it is smaller than the sum of its proper divisors (111785332506654).

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

87284437710066 is a wasteful number, since it uses less digits than its factorization.

87284437710066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255217654150 (or 255217654147 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 87284437710066 in words is "eighty-seven trillion, two hundred eighty-four billion, four hundred thirty-seven million, seven hundred ten thousand, sixty-six".