29952986112 has 440 divisors, whose sum is σ = 106715448576. Its totient is φ = 8182259712.

The previous prime is 29952986111. The next prime is 29952986177. The reversal of 29952986112 is 21168925992.

29952986112 is a `hidden beast` number, since 29 + 9 + 529 + 86 + 1 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (29952986111) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13352863 + ... + 13355105.

Almost surely, 2^29952986112 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 29952986112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53357724288).

29952986112 is an abundant number, since it is smaller than the sum of its proper divisors (76762462464).

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

29952986112 is a wasteful number, since it uses less digits than its factorization.

29952986112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305 (or 2278 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 54.

It can be divided in two parts, 299529 and 86112, that added together give a square (385641 = 621²).

The spelling of 29952986112 in words is "twenty-nine billion, nine hundred fifty-two million, nine hundred eighty-six thousand, one hundred twelve".