29979623134000 has 240 divisors, whose sum is σ = 75795263256960. Its totient is φ = 11463690470400.

The previous prime is 29979623133997. The next prime is 29979623134003. The reversal of 29979623134000 is 43132697992.

It is an interprime number because it is at equal distance from previous prime (29979623133997) and next prime (29979623134003).

It is not an unprimeable number, because it can be changed into a prime (29979623134003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173719756 + ... + 173892244.

It is an arithmetic number, because the mean of its divisors is an integer number (315813596904).

Almost surely, 2^{29979623134000} is an apocalyptic number.

29979623134000 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 29979623134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37897631628480).

29979623134000 is an abundant number, since it is smaller than the sum of its proper divisors (45815640122960).

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

29979623134000 is a wasteful number, since it uses less digits than its factorization.

29979623134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172645 (or 172586 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 55.

The spelling of 29979623134000 in words is "twenty-nine trillion, nine hundred seventy-nine billion, six hundred twenty-three million, one hundred thirty-four thousand".