21919354798068 has 384 divisors, whose sum is σ = 72287061934080. Its totient is φ = 5587569216000.

The previous prime is 21919354798057. The next prime is 21919354798073. The reversal of 21919354798068 is 86089745391912.

21919354798068 is a `hidden beast` number, since 2 + 1 + 9 + 1 + 93 + 5 + 479 + 8 + 0 + 68 = 666.

It is a super-2 number, since 2×21919354798068² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21919354797987 and 21919354798005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 250088613 + ... + 250176243.

It is an arithmetic number, because the mean of its divisors is an integer number (188247557120).

It is a 1-persistent number, because it is pandigital, but 2⋅21919354798068 = 43838709596136 is not.

Almost surely, 2^{21919354798068} is an apocalyptic number.

21919354798068 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 21919354798068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36143530967040).

21919354798068 is an abundant number, since it is smaller than the sum of its proper divisors (50367707136012).

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

21919354798068 is a wasteful number, since it uses less digits than its factorization.

21919354798068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88516 (or 88508 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 21919354798068 in words is "twenty-one trillion, nine hundred nineteen billion, three hundred fifty-four million, seven hundred ninety-eight thousand, sixty-eight".