29685866244864 has 576 divisors, whose sum is σ = 83472370974720. Its totient is φ = 9354797383680.

The previous prime is 29685866244857. The next prime is 29685866244869. The reversal of 29685866244864 is 46844266858692.

It is a self number, because there is not a number n which added to its sum of digits gives 29685866244864.

It is not an unprimeable number, because it can be changed into a prime (29685866244869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88088623704 + ... + 88088624040.

It is an arithmetic number, because the mean of its divisors is an integer number (144917310720).

Almost surely, 2^{29685866244864} is an apocalyptic number.

29685866244864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29685866244864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41736185487360).

29685866244864 is an abundant number, since it is smaller than the sum of its proper divisors (53786504729856).

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

29685866244864 is a wasteful number, since it uses less digits than its factorization.

29685866244864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 862 counting only the distinct ones).

The product of its digits is 7644119040, while the sum is 78.

The spelling of 29685866244864 in words is "twenty-nine trillion, six hundred eighty-five billion, eight hundred sixty-six million, two hundred forty-four thousand, eight hundred sixty-four".