29980033155072 has 3240 divisors, whose sum is σ = 127051795043712. Its totient is φ = 6956148326400.

The previous prime is 29980033155049. The next prime is 29980033155119. The reversal of 29980033155072 is 27055133008992.

29980033155072 is a `hidden beast` number, since 2 + 9 + 9 + 80 + 0 + 3 + 3 + 1 + 550 + 7 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 967097843697 + ... + 967097843727.

Almost surely, 2^{29980033155072} is an apocalyptic number.

29980033155072 is a gapful number since it is divisible by the number (22) 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 29980033155072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63525897521856).

29980033155072 is an abundant number, since it is smaller than the sum of its proper divisors (97071761888640).

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

29980033155072 is an equidigital number, since it uses as much as digits as its factorization.

29980033155072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 29980033155072 in words is "twenty-nine trillion, nine hundred eighty billion, thirty-three million, one hundred fifty-five thousand, seventy-two".