29130064560 has 80 divisors (see below), whose sum is σ = 100336896480. Its totient is φ = 7768016640.

The previous prime is 29130064559. The next prime is 29130064571. The reversal of 29130064560 is 6546003192.

It is a happy number.

29130064560 is a `hidden beast` number, since 2 + 9 + 1 + 3 + 0 + 0 + 645 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×29130064560² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6740911 + ... + 6745230.

It is an arithmetic number, because the mean of its divisors is an integer number (1254211206).

Almost surely, 2^29130064560 is an apocalyptic number.

29130064560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29130064560 is an abundant number, since it is smaller than the sum of its proper divisors (71206831920).

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

29130064560 is a wasteful number, since it uses less digits than its factorization.

29130064560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13486163 (or 13486151 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 29130064560 in words is "twenty-nine billion, one hundred thirty million, sixty-four thousand, five hundred sixty".