29794934104320 has 864 divisors, whose sum is σ = 121000846740480. Its totient is φ = 6178630778880.

The previous prime is 29794934104297. The next prime is 29794934104333. The reversal of 29794934104320 is 2340143949792.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1041074971 + ... + 1041103589.

It is an arithmetic number, because the mean of its divisors is an integer number (140047276320).

Almost surely, 2^{29794934104320} is an apocalyptic number.

29794934104320 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 29794934104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60500423370240).

29794934104320 is an abundant number, since it is smaller than the sum of its proper divisors (91205912636160).

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

29794934104320 is a wasteful number, since it uses less digits than its factorization.

29794934104320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29171 (or 29150 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 57.

The spelling of 29794934104320 in words is "twenty-nine trillion, seven hundred ninety-four billion, nine hundred thirty-four million, one hundred four thousand, three hundred twenty".