29956728960 has 384 divisors, whose sum is σ = 108826623360. Its totient is φ = 7873044480.

The previous prime is 29956728947. The next prime is 29956728961. The reversal of 29956728960 is 6982765992.

29956728960 is a `hidden beast` number, since 2 + 9 + 9 + 567 + 2 + 8 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (29956728961) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 11040564 + ... + 11043276.

It is an arithmetic number, because the mean of its divisors is an integer number (283402665).

Almost surely, 2^29956728960 is an apocalyptic number.

29956728960 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 29956728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54413311680).

29956728960 is an abundant number, since it is smaller than the sum of its proper divisors (78869894400).

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

29956728960 is an equidigital number, since it uses as much as digits as its factorization.

29956728960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2818 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 29956728960 in words is "twenty-nine billion, nine hundred fifty-six million, seven hundred twenty-eight thousand, nine hundred sixty".