29996878988160 has 3840 divisors, whose sum is σ = 139433636390400. Its totient is φ = 6097498767360.

The previous prime is 29996878988129. The next prime is 29996878988161. The reversal of 29996878988160 is 6188987869992.

29996878988160 is a `hidden beast` number, since 299 + 9 + 6 + 8 + 7 + 89 + 88 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29996878988161) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 67713044899 + ... + 67713045341.

It is an arithmetic number, because the mean of its divisors is an integer number (36310842810).

Almost surely, 2^{29996878988160} is an apocalyptic number.

29996878988160 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 29996878988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69716818195200).

29996878988160 is an abundant number, since it is smaller than the sum of its proper divisors (109436757402240).

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

29996878988160 is a wasteful number, since it uses less digits than its factorization.

29996878988160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 13544423424, while the sum is 90.

The spelling of 29996878988160 in words is "twenty-nine trillion, nine hundred ninety-six billion, eight hundred seventy-eight million, nine hundred eighty-eight thousand, one hundred sixty".