8611180000 has 480 divisors, whose sum is σ = 24940016640. Its totient is φ = 2903040000.

The previous prime is 8611179979. The next prime is 8611180063. The reversal of 8611180000 is 811168.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 79 ways as a sum of consecutive naturals, for example, 200259979 + ... + 200260021.

It is an arithmetic number, because the mean of its divisors is an integer number (51958368).

Almost surely, 2^8611180000 is an apocalyptic number.

8611180000 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 8611180000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12470008320).

8611180000 is an abundant number, since it is smaller than the sum of its proper divisors (16328836640).

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

8611180000 is a wasteful number, since it uses less digits than its factorization.

8611180000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 25.

The square root of 8611180000 is about 92796.4438973822. The cubic root of 8611180000 is about 2049.6870432431.

Adding to 8611180000 its reverse (811168), we get a palindrome (8611991168).

The spelling of 8611180000 in words is "eight billion, six hundred eleven million, one hundred eighty thousand".