29538930960 has 800 divisors, whose sum is σ = 130438294272. Its totient is φ = 6016757760.

The previous prime is 29538930947. The next prime is 29538930977. The reversal of 29538930960 is 6903983592.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 29538930897 and 29538930906.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 26444322 + ... + 26445438.

Almost surely, 2^29538930960 is an apocalyptic number.

29538930960 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 29538930960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65219147136).

29538930960 is an abundant number, since it is smaller than the sum of its proper divisors (100899363312).

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

29538930960 is a wasteful number, since it uses less digits than its factorization.

29538930960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 29538930960 in words is "twenty-nine billion, five hundred thirty-eight million, nine hundred thirty thousand, nine hundred sixty".