29720119648688 has 80 divisors (see below), whose sum is σ = 67179759178560. Its totient is φ = 12473677900800.

The previous prime is 29720119648673. The next prime is 29720119648699. The reversal of 29720119648688 is 88684691102792.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7933583 + ... + 11062638.

It is an arithmetic number, because the mean of its divisors is an integer number (839746989732).

Almost surely, 2^{29720119648688} is an apocalyptic number.

29720119648688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

29720119648688 is an abundant number, since it is smaller than the sum of its proper divisors (37459639529872).

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

29720119648688 is a wasteful number, since it uses less digits than its factorization.

29720119648688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18996526 (or 18996520 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 71.

The spelling of 29720119648688 in words is "twenty-nine trillion, seven hundred twenty billion, one hundred nineteen million, six hundred forty-eight thousand, six hundred eighty-eight".