29904856128 has 448 divisors, whose sum is σ = 111027179520. Its totient is φ = 7690788864.

The previous prime is 29904856097. The next prime is 29904856129. The reversal of 29904856128 is 82165840992.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (29904856129) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4726375 + ... + 4732697.

Almost surely, 2^29904856128 is an apocalyptic number.

29904856128 is a gapful number since it is divisible by the number (28) 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 29904856128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55513589760).

29904856128 is an abundant number, since it is smaller than the sum of its proper divisors (81122323392).

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

29904856128 is a wasteful number, since it uses less digits than its factorization.

29904856128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6391 (or 6375 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 29904856128 in words is "twenty-nine billion, nine hundred four million, eight hundred fifty-six thousand, one hundred twenty-eight".