6511116000 has 384 divisors, whose sum is σ = 23006011392. Its totient is φ = 1605120000.

The previous prime is 6511115993. The next prime is 6511116013. The reversal of 6511116000 is 6111156.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8555620 + ... + 8556380.

It is an arithmetic number, because the mean of its divisors is an integer number (59911488).

Almost surely, 2^6511116000 is an apocalyptic number.

6511116000 is a gapful number since it is divisible by the number (60) 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 6511116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11503005696).

6511116000 is an abundant number, since it is smaller than the sum of its proper divisors (16494895392).

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

6511116000 is a wasteful number, since it uses less digits than its factorization.

6511116000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 6511116000 is about 80691.4865397831. The cubic root of 6511116000 is about 1867.3188339137.

Adding to 6511116000 its reverse (6111156), we get a palindrome (6517227156).

The spelling of 6511116000 in words is "six billion, five hundred eleven million, one hundred sixteen thousand".