29798400000 has 384 divisors, whose sum is σ = 100344046320. Its totient is φ = 7864320000.

The previous prime is 29798399959. The next prime is 29798400061. The reversal of 29798400000 is 489792.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307199952 + ... + 307200048.

Almost surely, 2^29798400000 is an apocalyptic number.

29798400000 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 29798400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50172023160).

29798400000 is an abundant number, since it is smaller than the sum of its proper divisors (70545646320).

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

29798400000 is an frugal number, since it uses more digits than its factorization.

29798400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

Adding to 29798400000 its reverse (489792), we get a palindrome (29798889792).

The spelling of 29798400000 in words is "twenty-nine billion, seven hundred ninety-eight million, four hundred thousand".