8100180000 has 360 divisors, whose sum is σ = 31408833456. Its totient is φ = 1963200000.

The previous prime is 8100179981. The next prime is 8100180007. The reversal of 8100180000 is 810018.

It is a happy number.

It is a Cunningham number, because it is equal to 90001²-1.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×8100180000² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (8100180007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1977955 + ... + 1982045.

Almost surely, 2^8100180000 is an apocalyptic number.

8100180000 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 8100180000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15704416728).

8100180000 is an abundant number, since it is smaller than the sum of its proper divisors (23308653456).

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

8100180000 is a wasteful number, since it uses less digits than its factorization.

8100180000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4138 (or 4112 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 8100180000 is about 90000.9999944445. Note that the first 5 decimals coincide. The cubic root of 8100180000 is about 2008.3137264241.

Adding to 8100180000 its reverse (810018), we get a palindrome (8100990018).

8100180000 divided by its reverse (810018) gives a 4-th power (10000 = 10⁴).

The spelling of 8100180000 in words is "eight billion, one hundred million, one hundred eighty thousand".