29730097800 has 288 divisors, whose sum is σ = 107764118280. Its totient is φ = 7301836800.

The previous prime is 29730097799. The next prime is 29730097849. The reversal of 29730097800 is 879003792.

It can be written as a sum of positive squares in 12 ways, for example, as 544475556 + 29185622244 = 23334^2 + 170838^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13032660 + ... + 13034940.

Almost surely, 2^29730097800 is an apocalyptic number.

29730097800 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 29730097800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53882059140).

29730097800 is an abundant number, since it is smaller than the sum of its proper divisors (78034020480).

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

29730097800 is a wasteful number, since it uses less digits than its factorization.

29730097800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2873 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 29730097800 in words is "twenty-nine billion, seven hundred thirty million, ninety-seven thousand, eight hundred".