29688780960 has 240 divisors, whose sum is σ = 110940812136. Its totient is φ = 7451246592.

The previous prime is 29688780937. The next prime is 29688781009. The reversal of 29688780960 is 6908788692.

It can be written as a sum of positive squares in 4 ways, for example, as 29599137936 + 89643024 = 172044^2 + 9468^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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, 152944 + ... + 287696.

Almost surely, 2^29688780960 is an apocalyptic number.

29688780960 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 29688780960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55470406068).

29688780960 is an abundant number, since it is smaller than the sum of its proper divisors (81252031176).

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

29688780960 is a wasteful number, since it uses less digits than its factorization.

29688780960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134797 (or 134780 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 29688780960 in words is "twenty-nine billion, six hundred eighty-eight million, seven hundred eighty thousand, nine hundred sixty".