8187896102500 has 135 divisors (see below), whose sum is σ = 18072338509071. Its totient is φ = 3244884300000.

The previous prime is 8187896102497. The next prime is 8187896102569. The reversal of 8187896102500 is 52016987818.

The square root of 8187896102500 is 2861450.

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

It can be written as a sum of positive squares in 2 ways, for example, as 641931054436 + 7545965048064 = 801206^2 + 2746992^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 21603947311 + ... + 21603947689.

Almost surely, 2^{8187896102500} is an apocalyptic number.

8187896102500 is the 2861450-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8187896102500

8187896102500 is an abundant number, since it is smaller than the sum of its proper divisors (9884442406571).

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

8187896102500 is an frugal number, since it uses more digits than its factorization.

8187896102500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 55.

The spelling of 8187896102500 in words is "eight trillion, one hundred eighty-seven billion, eight hundred ninety-six million, one hundred two thousand, five hundred".