21289119941088 has 240 divisors, whose sum is σ = 62907981166800. Its totient is φ = 7062702004224.

The previous prime is 21289119941077. The next prime is 21289119941107. The reversal of 21289119941088 is 88014991198212.

21289119941088 is a `hidden beast` number, since 2 + 1 + 28 + 9 + 1 + 199 + 410 + 8 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2820120738 + ... + 2820128286.

It is an arithmetic number, because the mean of its divisors is an integer number (262116588195).

Almost surely, 2^{21289119941088} 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 21289119941088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31453990583400).

21289119941088 is an abundant number, since it is smaller than the sum of its proper divisors (41618861225712).

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

21289119941088 is a wasteful number, since it uses less digits than its factorization.

21289119941088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12591 (or 12574 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 63.

The spelling of 21289119941088 in words is "twenty-one trillion, two hundred eighty-nine billion, one hundred nineteen million, nine hundred forty-one thousand, eighty-eight".