29379859971168 has 192 divisors, whose sum is σ = 89462101639680. Its totient is φ = 8268310904832.

The previous prime is 29379859971157. The next prime is 29379859971173. The reversal of 29379859971168 is 86117995897392.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1125091680 + ... + 1125117792.

It is an arithmetic number, because the mean of its divisors is an integer number (465948446040).

Almost surely, 2^{29379859971168} is an apocalyptic number.

29379859971168 is a gapful number since it is divisible by the number (28) 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 29379859971168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44731050819840).

29379859971168 is an abundant number, since it is smaller than the sum of its proper divisors (60082241668512).

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

29379859971168 is a wasteful number, since it uses less digits than its factorization.

29379859971168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51189 (or 51181 counting only the distinct ones).

The product of its digits is 3703553280, while the sum is 84.

The spelling of 29379859971168 in words is "twenty-nine trillion, three hundred seventy-nine billion, eight hundred fifty-nine million, nine hundred seventy-one thousand, one hundred sixty-eight".