29950216800 has 576 divisors, whose sum is σ = 118567411200. Its totient is φ = 6414336000.

The previous prime is 29950216771. The next prime is 29950216811. The reversal of 29950216800 is 861205992.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32238736 + ... + 32239664.

It is an arithmetic number, because the mean of its divisors is an integer number (205846200).

Almost surely, 2^29950216800 is an apocalyptic number.

29950216800 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 29950216800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59283705600).

29950216800 is an abundant number, since it is smaller than the sum of its proper divisors (88617194400).

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

29950216800 is a wasteful number, since it uses less digits than its factorization.

29950216800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 29950216800 in words is "twenty-nine billion, nine hundred fifty million, two hundred sixteen thousand, eight hundred".