6511066688000 has 480 divisors, whose sum is σ = 19707856616448. Its totient is φ = 2135282688000.

The previous prime is 6511066687981. The next prime is 6511066688011. The reversal of 6511066688000 is 8866601156.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72082865 + ... + 72173135.

Almost surely, 2^{6511066688000} 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 6511066688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9853928308224).

6511066688000 is an abundant number, since it is smaller than the sum of its proper divisors (13196789928448).

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

6511066688000 is an equidigital number, since it uses as much as digits as its factorization.

6511066688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90341 (or 90308 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 47.

The spelling of 6511066688000 in words is "six trillion, five hundred eleven billion, sixty-six million, six hundred eighty-eight thousand".