29451116800 has 162 divisors, whose sum is σ = 84798425418. Its totient is φ = 10097418240.

The previous prime is 29451116791. The next prime is 29451116803. The reversal of 29451116800 is 861115492.

It can be written as a sum of positive squares in 3 ways, for example, as 3186376704 + 26264740096 = 56448^2 + 162064^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 29451116800.

It is not an unprimeable number, because it can be changed into a prime (29451116803) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 266644 + ... + 360556.

Almost surely, 2^29451116800 is an apocalyptic number.

29451116800 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 29451116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42399212709).

29451116800 is an abundant number, since it is smaller than the sum of its proper divisors (55347308618).

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

29451116800 is an equidigital number, since it uses as much as digits as its factorization.

29451116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93953 (or 93927 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The spelling of 29451116800 in words is "twenty-nine billion, four hundred fifty-one million, one hundred sixteen thousand, eight hundred".