29119100668320 has 384 divisors, whose sum is σ = 101272368960000. Its totient is φ = 6987279237120.

The previous prime is 29119100668283. The next prime is 29119100668327. The reversal of 29119100668320 is 2386600191192.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 29119100668320.

It is not an unprimeable number, because it can be changed into a prime (29119100668327) 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, 319498597 + ... + 319589723.

It is an arithmetic number, because the mean of its divisors is an integer number (263730127500).

Almost surely, 2^{29119100668320} is an apocalyptic number.

29119100668320 is a gapful number since it is divisible by the number (20) 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 29119100668320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50636184480000).

29119100668320 is an abundant number, since it is smaller than the sum of its proper divisors (72153268291680).

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

29119100668320 is a wasteful number, since it uses less digits than its factorization.

29119100668320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92448 (or 92440 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The spelling of 29119100668320 in words is "twenty-nine trillion, one hundred nineteen billion, one hundred million, six hundred sixty-eight thousand, three hundred twenty".