29919859968 has 288 divisors, whose sum is σ = 86893219840. Its totient is φ = 9107251200.

The previous prime is 29919859859. The next prime is 29919859993. The reversal of 29919859968 is 86995891992.

It is a super-2 number, since 2×29919859968² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 29919859968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81525321 + ... + 81525687.

Almost surely, 2^29919859968 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 29919859968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43446609920).

29919859968 is an abundant number, since it is smaller than the sum of its proper divisors (56973359872).

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

29919859968 is a wasteful number, since it uses less digits than its factorization.

29919859968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 579 counting only the distinct ones).

The product of its digits is 226748160, while the sum is 75.

The spelling of 29919859968 in words is "twenty-nine billion, nine hundred nineteen million, eight hundred fifty-nine thousand, nine hundred sixty-eight".