29878505316 has 243 divisors, whose sum is σ = 87102858297. Its totient is φ = 8960751360.

The previous prime is 29878505257. The next prime is 29878505317. The reversal of 29878505316 is 61350587892.

The square root of 29878505316 is 172854.

It is a perfect power (a square), and thus also a powerful number.

29878505316 is a `hidden beast` number, since 29 + 8 + 7 + 85 + 0 + 531 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13416588900 + 16461916416 = 115830^2 + 128304^2 .

It is a tau number, because it is divible by the number of its divisors (243).

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

It is not an unprimeable number, because it can be changed into a prime (29878505317) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 308025780 + ... + 308025876.

Almost surely, 2^29878505316 is an apocalyptic number.

29878505316 is the 172854-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29878505316

29878505316 is an abundant number, since it is smaller than the sum of its proper divisors (57224352981).

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

29878505316 is an frugal number, since it uses more digits than its factorization.

29878505316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 29878505316 in words is "twenty-nine billion, eight hundred seventy-eight million, five hundred five thousand, three hundred sixteen".