29870687880000 has 3360 divisors, whose sum is σ = 129410183485440. Its totient is φ = 6507325440000.

The previous prime is 29870687879999. The next prime is 29870687880067. The reversal of 29870687880000 is 8878607892.

It is a self number, because there is not a number n which added to its sum of digits gives 29870687880000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 113576759869 + ... + 113576760131.

Almost surely, 2^{29870687880000} is an apocalyptic number.

29870687880000 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 29870687880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64705091742720).

29870687880000 is an abundant number, since it is smaller than the sum of its proper divisors (99539495605440).

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

29870687880000 is a wasteful number, since it uses less digits than its factorization.

29870687880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 29870687880000 in words is "twenty-nine trillion, eight hundred seventy billion, six hundred eighty-seven million, eight hundred eighty thousand".