29990795904 has 288 divisors, whose sum is σ = 93382953300. Its totient is φ = 9227108352.

The previous prime is 29990795839. The next prime is 29990795921. The reversal of 29990795904 is 40959709992.

It can be written as a sum of positive squares in 2 ways, for example, as 27240842304 + 2749953600 = 165048^2 + 52440^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17671984 + ... + 17673680.

Almost surely, 2^29990795904 is an apocalyptic number.

29990795904 is a gapful number since it is divisible by the number (24) 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 29990795904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46691476650).

29990795904 is an abundant number, since it is smaller than the sum of its proper divisors (63392157396).

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

29990795904 is a wasteful number, since it uses less digits than its factorization.

29990795904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 16533720, while the sum is 63.

The spelling of 29990795904 in words is "twenty-nine billion, nine hundred ninety million, seven hundred ninety-five thousand, nine hundred four".