29951058118000 has 80 divisors (see below), whose sum is σ = 72602263113120. Its totient is φ = 11950546560000.

The previous prime is 29951058117931. The next prime is 29951058118013. The reversal of 29951058118000 is 81185015992.

29951058118000 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17870730 + ... + 19474729.

It is an arithmetic number, because the mean of its divisors is an integer number (907528288914).

Almost surely, 2^{29951058118000} is an apocalyptic number.

29951058118000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29951058118000 is an abundant number, since it is smaller than the sum of its proper divisors (42651204995120).

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

29951058118000 is a wasteful number, since it uses less digits than its factorization.

29951058118000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37345883 (or 37345867 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 49.

The spelling of 29951058118000 in words is "twenty-nine trillion, nine hundred fifty-one billion, fifty-eight million, one hundred eighteen thousand".