29381952000 has 320 divisors, whose sum is σ = 98306208000. Its totient is φ = 7785676800.

The previous prime is 29381951983. The next prime is 29381952043. The reversal of 29381952000 is 25918392.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 29381952000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38207616 + ... + 38208384.

It is an arithmetic number, because the mean of its divisors is an integer number (307206900).

Almost surely, 2^29381952000 is an apocalyptic number.

29381952000 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 29381952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49153104000).

29381952000 is an abundant number, since it is smaller than the sum of its proper divisors (68924256000).

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

29381952000 is an equidigital number, since it uses as much as digits as its factorization.

29381952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 29381952000 in words is "twenty-nine billion, three hundred eighty-one million, nine hundred fifty-two thousand".