6511610501160 has 128 divisors (see below), whose sum is σ = 20231459942400. Its totient is φ = 1675547659520.

The previous prime is 6511610501159. The next prime is 6511610501167. The reversal of 6511610501160 is 611050161156.

It is a super-2 number, since 2×6511610501160² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6511610501167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7730130 + ... + 8531009.

It is an arithmetic number, because the mean of its divisors is an integer number (158058280800).

Almost surely, 2^{6511610501160} is an apocalyptic number.

6511610501160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6511610501160 is an abundant number, since it is smaller than the sum of its proper divisors (13719849441240).

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

6511610501160 is a wasteful number, since it uses less digits than its factorization.

6511610501160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16261271 (or 16261267 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 33.

The spelling of 6511610501160 in words is "six trillion, five hundred eleven billion, six hundred ten million, five hundred one thousand, one hundred sixty".