8801095288896 has 189 divisors, whose sum is σ = 25601766422349. Its totient is φ = 2890717401600.

The previous prime is 8801095288891. The next prime is 8801095288897. The reversal of 8801095288896 is 6988825901088.

The square root of 8801095288896 is 2966664.

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

8801095288896 is a `hidden beast` number, since 8 + 8 + 0 + 1 + 0 + 9 + 528 + 8 + 8 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10107487296 + 8790987801600 = 100536^2 + 2964960^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (8801095288891) 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, 5055194586 + ... + 5055196326.

Almost surely, 2^{8801095288896} is an apocalyptic number.

8801095288896 is the 2966664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8801095288896

8801095288896 is an abundant number, since it is smaller than the sum of its proper divisors (16800671133453).

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

8801095288896 is an frugal number, since it uses more digits than its factorization.

8801095288896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3642 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 72.

The spelling of 8801095288896 in words is "eight trillion, eight hundred one billion, ninety-five million, two hundred eighty-eight thousand, eight hundred ninety-six".