29079488768 has 144 divisors (see below), whose sum is σ = 66199109760. Its totient is φ = 12627148800.

The previous prime is 29079488759. The next prime is 29079488813. The reversal of 29079488768 is 86788497092.

It is a junction number, because it is equal to n+sod(n) for n = 29079488698 and 29079488707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7919573 + ... + 7923243.

It is an arithmetic number, because the mean of its divisors is an integer number (459716040).

Almost surely, 2^29079488768 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 29079488768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33099554880).

29079488768 is an abundant number, since it is smaller than the sum of its proper divisors (37119620992).

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

29079488768 is a wasteful number, since it uses less digits than its factorization.

29079488768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3824 (or 3810 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 68.

The spelling of 29079488768 in words is "twenty-nine billion, seventy-nine million, four hundred eighty-eight thousand, seven hundred sixty-eight".