29992320000 has 660 divisors, whose sum is σ = 111730434816. Its totient is φ = 7741440000.

The previous prime is 29992319971. The next prime is 29992320047. The reversal of 29992320000 is 2329992.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 236159937 + ... + 236160063.

Almost surely, 2^29992320000 is an apocalyptic number.

29992320000 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 29992320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55865217408).

29992320000 is an abundant number, since it is smaller than the sum of its proper divisors (81738114816).

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

29992320000 is a wasteful number, since it uses less digits than its factorization.

29992320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

Adding to 29992320000 its reverse (2329992), we get a palindrome (29994649992).

The spelling of 29992320000 in words is "twenty-nine billion, nine hundred ninety-two million, three hundred twenty thousand".