29244064106820 has 96 divisors (see below), whose sum is σ = 86208126883200. Its totient is φ = 7386680162304.

The previous prime is 29244064106809. The next prime is 29244064106843. The reversal of 29244064106820 is 2860146044292.

29244064106820 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 29244064106820.

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 31 ways as a sum of consecutive naturals, for example, 4273836 + ... + 8760924.

It is an arithmetic number, because the mean of its divisors is an integer number (898001321700).

Almost surely, 2^{29244064106820} is an apocalyptic number.

29244064106820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29244064106820 is an abundant number, since it is smaller than the sum of its proper divisors (56964062776380).

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

29244064106820 is a wasteful number, since it uses less digits than its factorization.

29244064106820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4492837 (or 4492835 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 29244064106820 in words is "twenty-nine trillion, two hundred forty-four billion, sixty-four million, one hundred six thousand, eight hundred twenty".