29987848900 has 27 divisors (see below), whose sum is σ = 65077390119. Its totient is φ = 11994446880.

The previous prime is 29987848897. The next prime is 29987848939. The reversal of 29987848900 is 984878992.

The square root of 29987848900 is 173170.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1774599876 + 28213249024 = 42126^2 + 167968^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1723042 + ... + 1740358.

Almost surely, 2^29987848900 is an apocalyptic number.

29987848900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

29987848900 is the 173170-th square number.

It is an amenable number.

29987848900 is an abundant number, since it is smaller than the sum of its proper divisors (35089541219).

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

29987848900 is an frugal number, since it uses more digits than its factorization.

29987848900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34648 (or 17324 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 64.

Multiplying 29987848900 by its sum of digits (64), we get a square (1919222329600 = 1385360²).

The spelling of 29987848900 in words is "twenty-nine billion, nine hundred eighty-seven million, eight hundred forty-eight thousand, nine hundred".