29870208900 has 243 divisors, whose sum is σ = 109044967941. Its totient is φ = 6819180480.

The previous prime is 29870208889. The next prime is 29870208911. The reversal of 29870208900 is 980207892.

The square root of 29870208900 is 172830.

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

29870208900 is a `hidden beast` number, since 298 + 70 + 208 + 90 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (29870208889) and next prime (29870208911).

It can be written as a sum of positive squares in only one way, i.e., 10753275204 + 19116933696 = 103698^2 + 138264^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 36293889 + ... + 36294711.

Almost surely, 2^29870208900 is an apocalyptic number.

29870208900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

29870208900 is the 172830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29870208900

29870208900 is an abundant number, since it is smaller than the sum of its proper divisors (79174759041).

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

29870208900 is a wasteful number, since it uses less digits than its factorization.

29870208900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 29870208900 in words is "twenty-nine billion, eight hundred seventy million, two hundred eight thousand, nine hundred".