29289964080 has 320 divisors, whose sum is σ = 99492382080. Its totient is φ = 7084965888.

The previous prime is 29289964073. The next prime is 29289964111. The reversal of 29289964080 is 8046998292.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 29289964080.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86913672 + ... + 86914008.

It is an arithmetic number, because the mean of its divisors is an integer number (310913694).

Almost surely, 2^29289964080 is an apocalyptic number.

29289964080 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 29289964080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49746191040).

29289964080 is an abundant number, since it is smaller than the sum of its proper divisors (70202418000).

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

29289964080 is a wasteful number, since it uses less digits than its factorization.

29289964080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The spelling of 29289964080 in words is "twenty-nine billion, two hundred eighty-nine million, nine hundred sixty-four thousand, eighty".