29993590900 has 216 divisors, whose sum is σ = 81789765120. Its totient is φ = 9463023360.

The previous prime is 29993590883. The next prime is 29993590901. The reversal of 29993590900 is 909539992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29993590901) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 30511809 + ... + 30512791.

It is an arithmetic number, because the mean of its divisors is an integer number (378656320).

Almost surely, 2^29993590900 is an apocalyptic number.

29993590900 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 29993590900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40894882560).

29993590900 is an abundant number, since it is smaller than the sum of its proper divisors (51796174220).

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

29993590900 is a wasteful number, since it uses less digits than its factorization.

29993590900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 1771470, while the sum is 55.

The spelling of 29993590900 in words is "twenty-nine billion, nine hundred ninety-three million, five hundred ninety thousand, nine hundred".