29945977880 has 128 divisors (see below), whose sum is σ = 83350270080. Its totient is φ = 9429073920.

The previous prime is 29945977877. The next prime is 29945977889. The reversal of 29945977880 is 8877954992.

It is a self number, because there is not a number n which added to its sum of digits gives 29945977880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29945977889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 696200 + ... + 737960.

It is an arithmetic number, because the mean of its divisors is an integer number (651173985).

Almost surely, 2^29945977880 is an apocalyptic number.

29945977880 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 29945977880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41675135040).

29945977880 is an abundant number, since it is smaller than the sum of its proper divisors (53404292200).

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

29945977880 is a wasteful number, since it uses less digits than its factorization.

29945977880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41989 (or 41985 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 68.

The spelling of 29945977880 in words is "twenty-nine billion, nine hundred forty-five million, nine hundred seventy-seven thousand, eight hundred eighty".