29808425088000 has 1408 divisors, whose sum is σ = 120125238804480. Its totient is φ = 7336562688000.

The previous prime is 29808425087989. The next prime is 29808425088059. The reversal of 29808425088000 is 88052480892.

It is a happy number.

29808425088000 is a `hidden beast` number, since 2 + 98 + 0 + 8 + 42 + 508 + 8 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3639163905 + ... + 3639172095.

Almost surely, 2^{29808425088000} is an apocalyptic number.

29808425088000 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 29808425088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60062619402240).

29808425088000 is an abundant number, since it is smaller than the sum of its proper divisors (90316813716480).

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

29808425088000 is an frugal number, since it uses more digits than its factorization.

29808425088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8260 (or 8214 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 29808425088000 in words is "twenty-nine trillion, eight hundred eight billion, four hundred twenty-five million, eighty-eight thousand".