87384179520 has 672 divisors, whose sum is σ = 335504332800. Its totient is φ = 20698951680.

The previous prime is 87384179507. The next prime is 87384179581. The reversal of 87384179520 is 2597148378.

It is a happy number.

87384179520 is a `hidden beast` number, since 8 + 7 + 3 + 8 + 41 + 79 + 520 = 666.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 439116381 + ... + 439116579.

It is an arithmetic number, because the mean of its divisors is an integer number (499262400).

Almost surely, 2^87384179520 is an apocalyptic number.

87384179520 is a gapful number since it is divisible by the number (80) 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 87384179520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167752166400).

87384179520 is an abundant number, since it is smaller than the sum of its proper divisors (248120153280).

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

87384179520 is a wasteful number, since it uses less digits than its factorization.

87384179520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 87384179520 in words is "eighty-seven billion, three hundred eighty-four million, one hundred seventy-nine thousand, five hundred twenty".