21022414558992 has 960 divisors, whose sum is σ = 78522566234112. Its totient is φ = 5088061440000.

The previous prime is 21022414558963. The next prime is 21022414559087. The reversal of 21022414558992 is 29985541422012.

It is a happy number.

21022414558992 is a `hidden beast` number, since 2 + 1 + 0 + 2 + 24 + 1 + 455 + 89 + 92 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10989238228 + ... + 10989240140.

Almost surely, 2^{21022414558992} is an apocalyptic number.

21022414558992 is a gapful number since it is divisible by the number (22) 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 21022414558992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39261283117056).

21022414558992 is an abundant number, since it is smaller than the sum of its proper divisors (57500151675120).

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

21022414558992 is a wasteful number, since it uses less digits than its factorization.

21022414558992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3060 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 21022414558992 in words is "twenty-one trillion, twenty-two billion, four hundred fourteen million, five hundred fifty-eight thousand, nine hundred ninety-two".