29121105744 has 200 divisors, whose sum is σ = 91121692640. Its totient is φ = 8947314432.

The previous prime is 29121105737. The next prime is 29121105799. The reversal of 29121105744 is 44750112192.

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

It is a junction number, because it is equal to n+sod(n) for n = 29121105699 and 29121105708.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 895107 + ... + 927069.

Almost surely, 2^29121105744 is an apocalyptic number.

29121105744 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 29121105744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45560846320).

29121105744 is an abundant number, since it is smaller than the sum of its proper divisors (62000586896).

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

29121105744 is a wasteful number, since it uses less digits than its factorization.

29121105744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32039 (or 32024 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 29121105744 in words is "twenty-nine billion, one hundred twenty-one million, one hundred five thousand, seven hundred forty-four".