8790987801600 has 1485 divisors, whose sum is σ = 34194704460631. Its totient is φ = 2231547494400.

The previous prime is 8790987801569. The next prime is 8790987801611. The reversal of 8790987801600 is 61087890978.

The square root of 8790987801600 is 2964960.

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

It can be written as a sum of positive squares in 4 ways, for example, as 120836883456 + 8670150918144 = 347616^2 + 2944512^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 123816729565 + ... + 123816729635.

Almost surely, 2^{8790987801600} is an apocalyptic number.

8790987801600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8790987801600 is the 2964960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8790987801600

8790987801600 is an abundant number, since it is smaller than the sum of its proper divisors (25403716659031).

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

8790987801600 is an equidigital number, since it uses as much as digits as its factorization.

8790987801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 63.

The spelling of 8790987801600 in words is "eight trillion, seven hundred ninety billion, nine hundred eighty-seven million, eight hundred one thousand, six hundred".