29460480000 has 600 divisors, whose sum is σ = 113009975232. Its totient is φ = 6684672000.

The previous prime is 29460479999. The next prime is 29460480011. The reversal of 29460480000 is 8406492.

It is a tau number, because it is divible by the number of its divisors (600).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 215039932 + ... + 215040068.

Almost surely, 2^29460480000 is an apocalyptic number.

29460480000 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 29460480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56504987616).

29460480000 is an abundant number, since it is smaller than the sum of its proper divisors (83549495232).

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

29460480000 is an frugal number, since it uses more digits than its factorization.

29460480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

Adding to 29460480000 its reverse (8406492), we get a palindrome (29468886492).

The spelling of 29460480000 in words is "twenty-nine billion, four hundred sixty million, four hundred eighty thousand".