29998399928576 has 72 divisors (see below), whose sum is σ = 62047511211000. Its totient is φ = 14457887539200.

The previous prime is 29998399928573. The next prime is 29998399928593. The reversal of 29998399928576 is 67582999389992.

29998399928576 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10212984242176 + 19785415686400 = 3195776^2 + 4448080^2 .

It is not an unprimeable number, because it can be changed into a prime (29998399928573) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1100150 + ... + 7823498.

Almost surely, 2^{29998399928576} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29998399928576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31023755605500).

29998399928576 is an abundant number, since it is smaller than the sum of its proper divisors (32049111282424).

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

29998399928576 is an equidigital number, since it uses as much as digits as its factorization.

29998399928576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6723995 (or 6723981 counting only the distinct ones).

The product of its digits is 85710804480, while the sum is 95.

The spelling of 29998399928576 in words is "twenty-nine trillion, nine hundred ninety-eight billion, three hundred ninety-nine million, nine hundred twenty-eight thousand, five hundred seventy-six".