29987339209000 has 256 divisors, whose sum is σ = 76380616915200. Its totient is φ = 10982784384000.

The previous prime is 29987339208989. The next prime is 29987339209033. The reversal of 29987339209000 is 90293378992.

It is a hoax number, since the sum of its digits (61) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 29987339209000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67246770 + ... + 67691230.

It is an arithmetic number, because the mean of its divisors is an integer number (298361784825).

Almost surely, 2^{29987339209000} is an apocalyptic number.

29987339209000 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 29987339209000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38190308457600).

29987339209000 is an abundant number, since it is smaller than the sum of its proper divisors (46393277706200).

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

29987339209000 is a wasteful number, since it uses less digits than its factorization.

29987339209000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444621 (or 444607 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 61.

The spelling of 29987339209000 in words is "twenty-nine trillion, nine hundred eighty-seven billion, three hundred thirty-nine million, two hundred nine thousand".