87384600576 has 832 divisors, whose sum is σ = 336132428800. Its totient is φ = 21785739264.

The previous prime is 87384600539. The next prime is 87384600577. The reversal of 87384600576 is 67500648378.

87384600576 is a `hidden beast` number, since 8 + 7 + 3 + 8 + 4 + 60 + 0 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (87384600577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 191213340 + ... + 191213796.

Almost surely, 2^87384600576 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 87384600576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168066214400).

87384600576 is an abundant number, since it is smaller than the sum of its proper divisors (248747828224).

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

87384600576 is a wasteful number, since it uses less digits than its factorization.

87384600576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 87384600576 in words is "eighty-seven billion, three hundred eighty-four million, six hundred thousand, five hundred seventy-six".