87385476672 has 224 divisors, whose sum is σ = 277882908800. Its totient is φ = 26768848896.

The previous prime is 87385476653. The next prime is 87385476679. The reversal of 87385476672 is 27667458378.

87385476672 is a `hidden beast` number, since 87 + 3 + 8 + 547 + 6 + 6 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (87385476679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5135763 + ... + 5152749.

It is an arithmetic number, because the mean of its divisors is an integer number (1240548700).

Almost surely, 2^87385476672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87385476672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138941454400).

87385476672 is an abundant number, since it is smaller than the sum of its proper divisors (190497432128).

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

87385476672 is a wasteful number, since it uses less digits than its factorization.

87385476672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17250 (or 17234 counting only the distinct ones).

The product of its digits is 94832640, while the sum is 63.

The spelling of 87385476672 in words is "eighty-seven billion, three hundred eighty-five million, four hundred seventy-six thousand, six hundred seventy-two".