29998337596100 has 18 divisors (see below), whose sum is σ = 65096392583754. Its totient is φ = 11999335038400.

The previous prime is 29998337596093. The next prime is 29998337596163. The reversal of 29998337596100 is 169573389992.

It can be written as a sum of positive squares in 3 ways, for example, as 6071995796164 + 23926341799936 = 2464142^2 + 4891456^2 .

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 5 ways as a sum of consecutive naturals, for example, 149991687881 + ... + 149991688080.

It is an arithmetic number, because the mean of its divisors is an integer number (3616466254653).

Almost surely, 2^{29998337596100} is an apocalyptic number.

29998337596100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29998337596100 is an abundant number, since it is smaller than the sum of its proper divisors (35098054987654).

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

29998337596100 is a wasteful number, since it uses less digits than its factorization.

29998337596100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299983375975 (or 299983375968 counting only the distinct ones).

The product of its (nonzero) digits is 198404640, while the sum is 71.

The spelling of 29998337596100 in words is "twenty-nine trillion, nine hundred ninety-eight billion, three hundred thirty-seven million, five hundred ninety-six thousand, one hundred".