29530332000 has 1344 divisors, whose sum is σ = 126325967040. Its totient is φ = 6718464000.

The previous prime is 29530331951. The next prime is 29530332011. The reversal of 29530332000 is 23303592.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 720251980 + ... + 720252020.

It is an arithmetic number, because the mean of its divisors is an integer number (93992535).

Almost surely, 2^29530332000 is an apocalyptic number.

29530332000 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 29530332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63162983520).

29530332000 is an abundant number, since it is smaller than the sum of its proper divisors (96795635040).

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

29530332000 is a wasteful number, since it uses less digits than its factorization.

29530332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

Adding to 29530332000 its reverse (23303592), we get a palindrome (29553635592).

The spelling of 29530332000 in words is "twenty-nine billion, five hundred thirty million, three hundred thirty-two thousand".