21129135410208 has 192 divisors, whose sum is σ = 66753032048640. Its totient is φ = 5716640489472.

The previous prime is 21129135410191. The next prime is 21129135410231. The reversal of 21129135410208 is 80201453192112.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28657641 + ... + 29385687.

It is an arithmetic number, because the mean of its divisors is an integer number (347672041920).

Almost surely, 2^{21129135410208} is an apocalyptic number.

21129135410208 is a gapful number since it is divisible by the number (28) 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 21129135410208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33376516024320).

21129135410208 is an abundant number, since it is smaller than the sum of its proper divisors (45623896638432).

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

21129135410208 is a wasteful number, since it uses less digits than its factorization.

21129135410208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730359 (or 730351 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 21129135410208 in words is "twenty-one trillion, one hundred twenty-nine billion, one hundred thirty-five million, four hundred ten thousand, two hundred eight".