29889216000 has 960 divisors, whose sum is σ = 128806666560. Its totient is φ = 6812467200.

The previous prime is 29889215987. The next prime is 29889216011. The reversal of 29889216000 is 61298892.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent 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, 84671824 + ... + 84672176.

It is an arithmetic number, because the mean of its divisors is an integer number (134173611).

Almost surely, 2^29889216000 is an apocalyptic number.

29889216000 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 29889216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64403333280).

29889216000 is an abundant number, since it is smaller than the sum of its proper divisors (98917450560).

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

29889216000 is an equidigital number, since it uses as much as digits as its factorization.

29889216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 29889216000 in words is "twenty-nine billion, eight hundred eighty-nine million, two hundred sixteen thousand".