29981968992 has 384 divisors, whose sum is σ = 94522982400. Its totient is φ = 9217732608.

The previous prime is 29981968981. The next prime is 29981968997. The reversal of 29981968992 is 29986918992.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 29981968992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29981968997) 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, 152192638 + ... + 152192834.

It is an arithmetic number, because the mean of its divisors is an integer number (246153600).

Almost surely, 2^29981968992 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 29981968992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47261491200).

29981968992 is an abundant number, since it is smaller than the sum of its proper divisors (64541013408).

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

29981968992 is a wasteful number, since it uses less digits than its factorization.

29981968992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 421 counting only the distinct ones).

The product of its digits is 90699264, while the sum is 72.

The spelling of 29981968992 in words is "twenty-nine billion, nine hundred eighty-one million, nine hundred sixty-eight thousand, nine hundred ninety-two".