29827545760064 has 28 divisors (see below), whose sum is σ = 63742038897684. Its totient is φ = 13766559581184.

The previous prime is 29827545760057. The next prime is 29827545760069. The reversal of 29827545760064 is 46006754572892.

It can be written as a sum of positive squares in 2 ways, for example, as 9556012038400 + 20271533721664 = 3091280^2 + 4502392^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29827545760069) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 17925206957 + ... + 17925208620.

It is an arithmetic number, because the mean of its divisors is an integer number (2276501389203).

Almost surely, 2^{29827545760064} is an apocalyptic number.

It is an amenable number.

29827545760064 is an abundant number, since it is smaller than the sum of its proper divisors (33914493137620).

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

29827545760064 is a wasteful number, since it uses less digits than its factorization.

29827545760064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35850415602 (or 35850415592 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 65.

The spelling of 29827545760064 in words is "twenty-nine trillion, eight hundred twenty-seven billion, five hundred forty-five million, seven hundred sixty thousand, sixty-four".