29955324900 has 144 divisors (see below), whose sum is σ = 88792094720. Its totient is φ = 7794662400.

The previous prime is 29955324899. The next prime is 29955324911. The reversal of 29955324900 is 942355992.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 29955324900.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2317656 + ... + 2330544.

Almost surely, 2^29955324900 is an apocalyptic number.

29955324900 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 29955324900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44396047360).

29955324900 is an abundant number, since it is smaller than the sum of its proper divisors (58836769820).

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

29955324900 is a wasteful number, since it uses less digits than its factorization.

29955324900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13094 (or 13087 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 48.

The spelling of 29955324900 in words is "twenty-nine billion, nine hundred fifty-five million, three hundred twenty-four thousand, nine hundred".