29998062573312 has 576 divisors, whose sum is σ = 86206446305280. Its totient is φ = 9238300262400.

The previous prime is 29998062573251. The next prime is 29998062573313. The reversal of 29998062573312 is 21337526089992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29998062573313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22041191512 + ... + 22041192872.

It is an arithmetic number, because the mean of its divisors is an integer number (149663969280).

Almost surely, 2^{29998062573312} 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 29998062573312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43103223152640).

29998062573312 is an abundant number, since it is smaller than the sum of its proper divisors (56208383731968).

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

29998062573312 is a wasteful number, since it uses less digits than its factorization.

29998062573312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 66.

The spelling of 29998062573312 in words is "twenty-nine trillion, nine hundred ninety-eight billion, sixty-two million, five hundred seventy-three thousand, three hundred twelve".