29798027667144 has 960 divisors, whose sum is σ = 94725770568000. Its totient is φ = 8450450426880.

The previous prime is 29798027667143. The next prime is 29798027667157. The reversal of 29798027667144 is 44176672089792.

29798027667144 is a `hidden beast` number, since 297 + 9 + 8 + 0 + 276 + 67 + 1 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (29798027667143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 182809985607 + ... + 182809985769.

It is an arithmetic number, because the mean of its divisors is an integer number (98672677675).

Almost surely, 2^{29798027667144} is an apocalyptic number.

29798027667144 is a gapful number since it is divisible by the number (24) 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 29798027667144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47362885284000).

29798027667144 is an abundant number, since it is smaller than the sum of its proper divisors (64927742900856).

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

29798027667144 is a wasteful number, since it uses less digits than its factorization.

29798027667144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 29798027667144 in words is "twenty-nine trillion, seven hundred ninety-eight billion, twenty-seven million, six hundred sixty-seven thousand, one hundred forty-four".