21116839929120 has 1728 divisors, whose sum is σ = 84059032127616. Its totient is φ = 4973514670080.

The previous prime is 21116839929109. The next prime is 21116839929139. The reversal of 21116839929120 is 2192993861112.

It is a happy number.

21116839929120 is a `hidden beast` number, since 2 + 1 + 1 + 168 + 399 + 2 + 91 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 93025726447 + ... + 93025726673.

It is an arithmetic number, because the mean of its divisors is an integer number (48645273222).

Almost surely, 2^{21116839929120} is an apocalyptic number.

21116839929120 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 21116839929120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42029516063808).

21116839929120 is an abundant number, since it is smaller than the sum of its proper divisors (62942192198496).

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

21116839929120 is a wasteful number, since it uses less digits than its factorization.

21116839929120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The spelling of 21116839929120 in words is "twenty-one trillion, one hundred sixteen billion, eight hundred thirty-nine million, nine hundred twenty-nine thousand, one hundred twenty".