8707987864900 has 81 divisors (see below), whose sum is σ = 18984146897989. Its totient is φ = 3467083068160.

The previous prime is 8707987864889. The next prime is 8707987864907. The reversal of 8707987864900 is 94687897078.

The square root of 8707987864900 is 2950930.

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

It can be written as a sum of positive squares in 13 ways, for example, as 8611560226116 + 96427638784 = 2934546^2 + 310528^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8707987864907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7938001152 + ... + 7938002248.

Almost surely, 2^{8707987864900} is an apocalyptic number.

8707987864900 is the 2950930-th square number.

It is an amenable number.

8707987864900 is an abundant number, since it is smaller than the sum of its proper divisors (10276159033089).

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

8707987864900 is an equidigital number, since it uses as much as digits as its factorization.

8707987864900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2746 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 341397504, while the sum is 73.

The spelling of 8707987864900 in words is "eight trillion, seven hundred seven billion, nine hundred eighty-seven million, eight hundred sixty-four thousand, nine hundred".