29872440178968 has 64 divisors (see below), whose sum is σ = 75895347035520. Its totient is φ = 9795971116800.

The previous prime is 29872440178967. The next prime is 29872440178979. The reversal of 29872440178968 is 86987104427892.

It is a self number, because there is not a number n which added to its sum of digits gives 29872440178968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29872440178961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10982218 + ... + 13429593.

It is an arithmetic number, because the mean of its divisors is an integer number (1185864797430).

Almost surely, 2^{29872440178968} is an apocalyptic number.

It is an amenable number.

29872440178968 is an abundant number, since it is smaller than the sum of its proper divisors (46022906856552).

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

29872440178968 is a wasteful number, since it uses less digits than its factorization.

29872440178968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24412648 (or 24412644 counting only the distinct ones).

The product of its (nonzero) digits is 780337152, while the sum is 75.

The spelling of 29872440178968 in words is "twenty-nine trillion, eight hundred seventy-two billion, four hundred forty million, one hundred seventy-eight thousand, nine hundred sixty-eight".