8111001600 has 468 divisors, whose sum is σ = 31332835716. Its totient is φ = 1993605120.

The previous prime is 8111001557. The next prime is 8111001611. The reversal of 8111001600 is 61001118.

It can be written as a sum of positive squares in 6 ways, for example, as 2359296 + 8108642304 = 1536^2 + 90048^2 .

It is a tau number, because it is divible by the number of its divisors (468).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11980462 + ... + 11981138.

Almost surely, 2^8111001600 is an apocalyptic number.

8111001600 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 8111001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15666417858).

8111001600 is an abundant number, since it is smaller than the sum of its proper divisors (23221834116).

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

8111001600 is a wasteful number, since it uses less digits than its factorization.

8111001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The square root of 8111001600 is about 90061.0992604465. The cubic root of 8111001600 is about 2009.2076776165.

Adding to 8111001600 its reverse (61001118), we get a palindrome (8172002718).

The spelling of 8111001600 in words is "eight billion, one hundred eleven million, one thousand, six hundred".