87171381504 has 81 divisors (see below), whose sum is σ = 251377450779. Its totient is φ = 29052403200.

The previous prime is 87171381487. The next prime is 87171381551. The reversal of 87171381504 is 40518317178.

The square root of 87171381504 is 295248.

It is a perfect power (a square), and thus also a powerful number.

87171381504 is a `hidden beast` number, since 8 + 7 + 1 + 7 + 138 + 1 + 504 = 666.

It is a super-3 number, since 3×87171381504³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 87171381504.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14168829 + ... + 14174979.

Almost surely, 2^87171381504 is an apocalyptic number.

87171381504 is the 295248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87171381504

87171381504 is an abundant number, since it is smaller than the sum of its proper divisors (164206069275).

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

87171381504 is an frugal number, since it uses more digits than its factorization.

87171381504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12324 (or 6156 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 87171381504 in words is "eighty-seven billion, one hundred seventy-one million, three hundred eighty-one thousand, five hundred four".