29391112091920 has 80 divisors (see below), whose sum is σ = 69200329770432. Its totient is φ = 11607631464960.

The previous prime is 29391112091881. The next prime is 29391112091927. The reversal of 29391112091920 is 2919021119392.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (29391112091927) 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, 9398119 + ... + 12128761.

Almost surely, 2^{29391112091920} is an apocalyptic number.

29391112091920 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 29391112091920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34600164885216).

29391112091920 is an abundant number, since it is smaller than the sum of its proper divisors (39809217678512).

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

29391112091920 is a wasteful number, since it uses less digits than its factorization.

29391112091920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2732360 (or 2732354 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 49.

The spelling of 29391112091920 in words is "twenty-nine trillion, three hundred ninety-one billion, one hundred twelve million, ninety-one thousand, nine hundred twenty".