29889040896000 has 2496 divisors, whose sum is σ = 128662730816256. Its totient is φ = 6578896896000.

The previous prime is 29889040895981. The next prime is 29889040896007. The reversal of 29889040896000 is 69804098892.

29889040896000 is a `hidden beast` number, since 2 + 9 + 88 + 90 + 408 + 9 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29889040896007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 44149247662 + ... + 44149248338.

It is an arithmetic number, because the mean of its divisors is an integer number (51547568436).

Almost surely, 2^{29889040896000} is an apocalyptic number.

29889040896000 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 29889040896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64331365408128).

29889040896000 is an abundant number, since it is smaller than the sum of its proper divisors (98773689920256).

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

29889040896000 is a wasteful number, since it uses less digits than its factorization.

29889040896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 29889040896000 in words is "twenty-nine trillion, eight hundred eighty-nine billion, forty million, eight hundred ninety-six thousand".