29970942600 has 192 divisors, whose sum is σ = 98248711680. Its totient is φ = 7545600000.

The previous prime is 29970942583. The next prime is 29970942619. The reversal of 29970942600 is 624907992.

It is a self number, because there is not a number n which added to its sum of digits gives 29970942600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 742950 + ... + 782250.

It is an arithmetic number, because the mean of its divisors is an integer number (511712040).

Almost surely, 2^29970942600 is an apocalyptic number.

29970942600 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 29970942600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49124355840).

29970942600 is an abundant number, since it is smaller than the sum of its proper divisors (68277769080).

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

29970942600 is a wasteful number, since it uses less digits than its factorization.

29970942600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39392 (or 39383 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The spelling of 29970942600 in words is "twenty-nine billion, nine hundred seventy million, nine hundred forty-two thousand, six hundred".