6511882160 has 240 divisors, whose sum is σ = 18703445760. Its totient is φ = 2059706880.

The previous prime is 6511882159. The next prime is 6511882163. The reversal of 6511882160 is 612881156.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (6511882163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19673195 + ... + 19673525.

It is an arithmetic number, because the mean of its divisors is an integer number (77931024).

Almost surely, 2^6511882160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6511882160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9351722880).

6511882160 is an abundant number, since it is smaller than the sum of its proper divisors (12191563600).

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

6511882160 is a wasteful number, since it uses less digits than its factorization.

6511882160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 38.

The square root of 6511882160 is about 80696.2338650324. The cubic root of 6511882160 is about 1867.3920732215.

The spelling of 6511882160 in words is "six billion, five hundred eleven million, eight hundred eighty-two thousand, one hundred sixty".