29971969920 has 288 divisors, whose sum is σ = 107575224120. Its totient is φ = 7974319104.

The previous prime is 29971969879. The next prime is 29971969927. The reversal of 29971969920 is 2996917992.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29971969927) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 68273061 + ... + 68273499.

Almost surely, 2^29971969920 is an apocalyptic number.

29971969920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29971969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53787612060).

29971969920 is an abundant number, since it is smaller than the sum of its proper divisors (77603254200).

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

29971969920 is an frugal number, since it uses more digits than its factorization.

29971969920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 9920232, while the sum is 63.

The spelling of 29971969920 in words is "twenty-nine billion, nine hundred seventy-one million, nine hundred sixty-nine thousand, nine hundred twenty".