9987243267600 has 675 divisors, whose sum is σ = 36417941853381. Its totient is φ = 2621246054400.

The previous prime is 9987243267583. The next prime is 9987243267637. The reversal of 9987243267600 is 67623427899.

The square root of 9987243267600 is 3160260.

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

9987243267600 is a `hidden beast` number, since 9 + 9 + 87 + 2 + 432 + 67 + 60 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 9910483240464 + 76760027136 = 3148092^2 + 277056^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 55178139510 + ... + 55178139690.

Almost surely, 2^{9987243267600} is an apocalyptic number.

9987243267600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9987243267600 is the 3160260-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9987243267600

9987243267600 is an abundant number, since it is smaller than the sum of its proper divisors (26430698585781).

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

9987243267600 is an equidigital number, since it uses as much as digits as its factorization.

9987243267600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 9987243267600 in words is "nine trillion, nine hundred eighty-seven billion, two hundred forty-three million, two hundred sixty-seven thousand, six hundred".