6511166650656 has 144 divisors (see below), whose sum is σ = 18851763909888. Its totient is φ = 2131168550400.

The previous prime is 6511166650633. The next prime is 6511166650657. The reversal of 6511166650656 is 6560566611156.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×6511166650656² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6511166650657) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9996721 + ... + 10628111.

It is an arithmetic number, because the mean of its divisors is an integer number (130915027152).

Almost surely, 2^{6511166650656} 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 6511166650656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9425881954944).

6511166650656 is an abundant number, since it is smaller than the sum of its proper divisors (12340597259232).

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

6511166650656 is a wasteful number, since it uses less digits than its factorization.

6511166650656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632055 (or 632044 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 6511166650656 in words is "six trillion, five hundred eleven billion, one hundred sixty-six million, six hundred fifty thousand, six hundred fifty-six".