29996635669792 has 192 divisors, whose sum is σ = 68482700899200. Its totient is φ = 12782367129600.

The previous prime is 29996635669789. The next prime is 29996635669807. The reversal of 29996635669792 is 29796653669992.

It is a super-2 number, since 2×29996635669792² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (88).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2120046334 + ... + 2120060482.

It is an arithmetic number, because the mean of its divisors is an integer number (356680733850).

Almost surely, 2^{29996635669792} is an apocalyptic number.

29996635669792 is a gapful number since it is divisible by the number (22) 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 29996635669792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34241350449600).

29996635669792 is an abundant number, since it is smaller than the sum of its proper divisors (38486065229408).

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

29996635669792 is a wasteful number, since it uses less digits than its factorization.

29996635669792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15555 (or 15547 counting only the distinct ones).

The product of its digits is 32141551680, while the sum is 88.

The spelling of 29996635669792 in words is "twenty-nine trillion, nine hundred ninety-six billion, six hundred thirty-five million, six hundred sixty-nine thousand, seven hundred ninety-two".