29828199456000 has 3456 divisors, whose sum is σ = 130792084480512. Its totient is φ = 6688604160000.

The previous prime is 29828199455963. The next prime is 29828199456001. The reversal of 29828199456000 is 65499182892.

29828199456000 is a `hidden beast` number, since 2 + 9 + 8 + 2 + 8 + 19 + 9 + 4 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29828199456001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 106150175860 + ... + 106150176140.

It is an arithmetic number, because the mean of its divisors is an integer number (37844931852).

Almost surely, 2^{29828199456000} is an apocalyptic number.

29828199456000 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 29828199456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65396042240256).

29828199456000 is an abundant number, since it is smaller than the sum of its proper divisors (100963885024512).

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

29828199456000 is a wasteful number, since it uses less digits than its factorization.

29828199456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 29828199456000 in words is "twenty-nine trillion, eight hundred twenty-eight billion, one hundred ninety-nine million, four hundred fifty-six thousand".