29894400000 has 576 divisors, whose sum is σ = 111325687200. Its totient is φ = 7925760000.

The previous prime is 29894399957. The next prime is 29894400013. The reversal of 29894400000 is 449892.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172799914 + ... + 172800086.

Almost surely, 2^29894400000 is an apocalyptic number.

29894400000 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 29894400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55662843600).

29894400000 is an abundant number, since it is smaller than the sum of its proper divisors (81431287200).

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

29894400000 is an frugal number, since it uses more digits than its factorization.

29894400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 29894400000 its reverse (449892), we get a palindrome (29894849892).

The spelling of 29894400000 in words is "twenty-nine billion, eight hundred ninety-four million, four hundred thousand".