21129111130608 has 320 divisors, whose sum is σ = 68638870164480. Its totient is φ = 6178446554112.

The previous prime is 21129111130553. The next prime is 21129111130643. The reversal of 21129111130608 is 80603111192112.

21129111130608 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 9 + 1 + 1 + 11 + 30 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7752685 + ... + 10117427.

It is an arithmetic number, because the mean of its divisors is an integer number (214496469264).

Almost surely, 2^{21129111130608} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21129111130608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34319435082240).

21129111130608 is an abundant number, since it is smaller than the sum of its proper divisors (47509759033872).

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

21129111130608 is a wasteful number, since it uses less digits than its factorization.

21129111130608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364853 (or 2364841 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 21129111130608 in words is "twenty-one trillion, one hundred twenty-nine billion, one hundred eleven million, one hundred thirty thousand, six hundred eight".