29801406800880 has 560 divisors, whose sum is σ = 122046610454496. Its totient is φ = 6668844410880.

The previous prime is 29801406800873. The next prime is 29801406800881. The reversal of 29801406800880 is 8800860410892.

29801406800880 is a `hidden beast` number, since 2 + 9 + 80 + 1 + 406 + 80 + 0 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29801406800881) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6553054 + ... + 10126466.

Almost surely, 2^{29801406800880} is an apocalyptic number.

29801406800880 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 29801406800880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61023305227248).

29801406800880 is an abundant number, since it is smaller than the sum of its proper divisors (92245203653616).

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

29801406800880 is a wasteful number, since it uses less digits than its factorization.

29801406800880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3573468 (or 3573447 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 29801406800880 in words is "twenty-nine trillion, eight hundred one billion, four hundred six million, eight hundred thousand, eight hundred eighty".