29979344448900 has 432 divisors, whose sum is σ = 122305348831680. Its totient is φ = 6229473868800.

The previous prime is 29979344448883. The next prime is 29979344448919. The reversal of 29979344448900 is 984444397992.

29979344448900 is a `hidden beast` number, since 2 + 9 + 9 + 7 + 93 + 4 + 4 + 448 + 90 + 0 = 666.

It is a super-2 number, since 2×29979344448900² (a number of 28 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 8844757 + ... + 11755356.

Almost surely, 2^{29979344448900} is an apocalyptic number.

29979344448900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29979344448900 is an abundant number, since it is smaller than the sum of its proper divisors (92326004382780).

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

29979344448900 is a wasteful number, since it uses less digits than its factorization.

29979344448900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20600161 (or 20600141 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 29979344448900 in words is "twenty-nine trillion, nine hundred seventy-nine billion, three hundred forty-four million, four hundred forty-eight thousand, nine hundred".