29870323890625 has 63 divisors (see below), whose sum is σ = 39051917297029. Its totient is φ = 22845267500000.

The previous prime is 29870323890619. The next prime is 29870323890629. The reversal of 29870323890625 is 52609832307892.

The square root of 29870323890625 is 5465375.

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

It can be written as a sum of positive squares in 10 ways, for example, as 11017082001601 + 18853241889024 = 3319199^2 + 4342032^2 .

It is not a de Polignac number, because 29870323890625 - 2⁵ = 29870323890593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29870323890629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 15712952175 + ... + 15712954075.

Almost surely, 2^{29870323890625} is an apocalyptic number.

29870323890625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29870323890625 is the 5465375-th square number.

29870323890625 is the 2732688-th centered octagonal number.

It is an amenable number.

29870323890625 is a deficient number, since it is larger than the sum of its proper divisors (9181593406404).

29870323890625 is an frugal number, since it uses more digits than its factorization.

29870323890625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3878 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 64.

The spelling of 29870323890625 in words is "twenty-nine trillion, eight hundred seventy billion, three hundred twenty-three million, eight hundred ninety thousand, six hundred twenty-five".