29065169784768 has 224 divisors, whose sum is σ = 84316755237120. Its totient is φ = 8781532446720.

The previous prime is 29065169784743. The next prime is 29065169784799. The reversal of 29065169784768 is 86748796156092.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a junction number, because it is equal to n+sod(n) for n = 29065169784693 and 29065169784702.

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, 129627571 + ... + 129851597.

It is an arithmetic number, because the mean of its divisors is an integer number (376414085880).

Almost surely, 2^{29065169784768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29065169784768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42158377618560).

29065169784768 is an abundant number, since it is smaller than the sum of its proper divisors (55251585452352).

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

29065169784768 is a wasteful number, since it uses less digits than its factorization.

29065169784768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224995 (or 224985 counting only the distinct ones).

The product of its (nonzero) digits is 2194698240, while the sum is 78.

The spelling of 29065169784768 in words is "twenty-nine trillion, sixty-five billion, one hundred sixty-nine million, seven hundred eighty-four thousand, seven hundred sixty-eight".