29043828450000 has 3840 divisors, whose sum is σ = 141127767244800. Its totient is φ = 5542732800000.

The previous prime is 29043828449983. The next prime is 29043828450001. The reversal of 29043828450000 is 5482834092.

29043828450000 is a `hidden beast` number, since 2 + 90 + 4 + 38 + 28 + 4 + 500 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29043828450001) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 53685449730 + ... + 53685450270.

It is an arithmetic number, because the mean of its divisors is an integer number (36752022720).

Almost surely, 2^{29043828450000} is an apocalyptic number.

29043828450000 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 29043828450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70563883622400).

29043828450000 is an abundant number, since it is smaller than the sum of its proper divisors (112083938794800).

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

29043828450000 is a wasteful number, since it uses less digits than its factorization.

29043828450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 29043828450000 in words is "twenty-nine trillion, forty-three billion, eight hundred twenty-eight million, four hundred fifty thousand".