29705130000 has 1500 divisors, whose sum is σ = 137242668288. Its totient is φ = 6065280000.

The previous prime is 29705129999. The next prime is 29705130019. The reversal of 29705130000 is 3150792.

It is a tau number, because it is divible by the number of its divisors (1500).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 958229985 + ... + 958230015.

Almost surely, 2^29705130000 is an apocalyptic number.

29705130000 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 29705130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68621334144).

29705130000 is an abundant number, since it is smaller than the sum of its proper divisors (107537538288).

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

29705130000 is a wasteful number, since it uses less digits than its factorization.

29705130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

Adding to 29705130000 its reverse (3150792), we get a palindrome (29708280792).

The spelling of 29705130000 in words is "twenty-nine billion, seven hundred five million, one hundred thirty thousand".