87532809504 has 96 divisors (see below), whose sum is σ = 262933687296. Its totient is φ = 24977445120.

The previous prime is 87532809491. The next prime is 87532809509. The reversal of 87532809504 is 40590823578.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (87532809509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 446109 + ... + 611619.

It is an arithmetic number, because the mean of its divisors is an integer number (2738892576).

Almost surely, 2^87532809504 is an apocalyptic number.

87532809504 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 87532809504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131466843648).

87532809504 is an abundant number, since it is smaller than the sum of its proper divisors (175400877792).

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

87532809504 is a wasteful number, since it uses less digits than its factorization.

87532809504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166318 (or 166310 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 87532809504 in words is "eighty-seven billion, five hundred thirty-two million, eight hundred nine thousand, five hundred four".