29898548442000 has 1680 divisors, whose sum is σ = 126511883506944. Its totient is φ = 6811076160000.

The previous prime is 29898548441981. The next prime is 29898548442017. The reversal of 29898548442000 is 24484589892.

29898548442000 is a `hidden beast` number, since 2 + 9 + 89 + 8 + 54 + 84 + 420 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 335 ways as a sum of consecutive naturals, for example, 30791501515 + ... + 30791502485.

Almost surely, 2^{29898548442000} is an apocalyptic number.

29898548442000 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 29898548442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63255941753472).

29898548442000 is an abundant number, since it is smaller than the sum of its proper divisors (96613335064944).

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

29898548442000 is an equidigital number, since it uses as much as digits as its factorization.

29898548442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 29898548442000 in words is "twenty-nine trillion, eight hundred ninety-eight billion, five hundred forty-eight million, four hundred forty-two thousand".