29115181201920 has 640 divisors, whose sum is σ = 107744788749312. Its totient is φ = 6628658380800.

The previous prime is 29115181201919. The next prime is 29115181201927. The reversal of 29115181201920 is 2910218151192.

It is a tau number, because it is divible by the number of its divisors (640).

It is not an unprimeable number, because it can be changed into a prime (29115181201927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 670665015 + ... + 670708425.

Almost surely, 2^{29115181201920} is an apocalyptic number.

29115181201920 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 29115181201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53872394374656).

29115181201920 is an abundant number, since it is smaller than the sum of its proper divisors (78629607547392).

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

29115181201920 is a wasteful number, since it uses less digits than its factorization.

29115181201920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43932 (or 43916 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 42.

The spelling of 29115181201920 in words is "twenty-nine trillion, one hundred fifteen billion, one hundred eighty-one million, two hundred one thousand, nine hundred twenty".