21919822848000 has 5376 divisors, whose sum is σ = 110231660298240. Its totient is φ = 4048551936000.

The previous prime is 21919822847969. The next prime is 21919822848019. The reversal of 21919822848000 is 84822891912.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a super-2 number, since 2×21919822848000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 277466111961 + ... + 277466112039.

Almost surely, 2^{21919822848000} is an apocalyptic number.

21919822848000 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 21919822848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55115830149120).

21919822848000 is an abundant number, since it is smaller than the sum of its proper divisors (88311837450240).

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

21919822848000 is a wasteful number, since it uses less digits than its factorization.

21919822848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 21919822848000 in words is "twenty-one trillion, nine hundred nineteen billion, eight hundred twenty-two million, eight hundred forty-eight thousand".