6527111164480 has 56 divisors (see below), whose sum is σ = 15921773332920. Its totient is φ = 2547165327360.

The previous prime is 6527111164471. The next prime is 6527111164489. The reversal of 6527111164480 is 844611117256.

It is an interprime number because it is at equal distance from previous prime (6527111164471) and next prime (6527111164489).

It can be written as a sum of positive squares in 4 ways, for example, as 197982282304 + 6329128882176 = 444952^2 + 2515776^2 .

It is a super-2 number, since 2×6527111164480² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6527111164480.

It is not an unprimeable number, because it can be changed into a prime (6527111164489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248733495 + ... + 248759734.

It is an arithmetic number, because the mean of its divisors is an integer number (284317380945).

Almost surely, 2^{6527111164480} is an apocalyptic number.

It is an amenable number.

6527111164480 is an abundant number, since it is smaller than the sum of its proper divisors (9394662168440).

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

6527111164480 is a wasteful number, since it uses less digits than its factorization.

6527111164480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497493287 (or 497493277 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 46.

The spelling of 6527111164480 in words is "six trillion, five hundred twenty-seven billion, one hundred eleven million, one hundred sixty-four thousand, four hundred eighty".