87172562500 has 63 divisors (see below), whose sum is σ = 190849139131. Its totient is φ = 34839500000.

The previous prime is 87172562459. The next prime is 87172562513. The reversal of 87172562500 is 526527178.

The square root of 87172562500 is 295250.

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

It can be written as a sum of positive squares in 10 ways, for example, as 86773841476 + 398721024 = 294574^2 + 19968^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 73811910 + ... + 73813090.

Almost surely, 2^87172562500 is an apocalyptic number.

87172562500 is the 295250-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87172562500

87172562500 is an abundant number, since it is smaller than the sum of its proper divisors (103676576631).

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

87172562500 is an frugal number, since it uses more digits than its factorization.

87172562500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 43.

The spelling of 87172562500 in words is "eighty-seven billion, one hundred seventy-two million, five hundred sixty-two thousand, five hundred".