8001000110000 has 400 divisors, whose sum is σ = 20764345282560. Its totient is φ = 2978384640000.

The previous prime is 8001000109979. The next prime is 8001000110053. The reversal of 8001000110000 is 110001008.

It is a tau number, because it is divible by the number of its divisors (400).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2779088561 + ... + 2779091439.

Almost surely, 2^{8001000110000} is an apocalyptic number.

8001000110000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8001000110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10382172641280).

8001000110000 is an abundant number, since it is smaller than the sum of its proper divisors (12763345172560).

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

8001000110000 is a wasteful number, since it uses less digits than its factorization.

8001000110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3254 (or 3233 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 8001000110000 its reverse (110001008), we get a palindrome (8001110111008).

The spelling of 8001000110000 in words is "eight trillion, one billion, one hundred ten thousand".