21422128896 has 324 divisors, whose sum is σ = 74179245504. Its totient is φ = 5922201600.

The previous prime is 21422128879. The next prime is 21422128939. The reversal of 21422128896 is 69882122412.

21422128896 is a `hidden beast` number, since 21 + 422 + 128 + 89 + 6 = 666.

It is a super-3 number, since 3×21422128896³ (a number of 32 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3496716 + ... + 3502836.

Almost surely, 2^21422128896 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 21422128896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37089622752).

21422128896 is an abundant number, since it is smaller than the sum of its proper divisors (52757116608).

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

21422128896 is a wasteful number, since it uses less digits than its factorization.

21422128896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6188 (or 6164 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The spelling of 21422128896 in words is "twenty-one billion, four hundred twenty-two million, one hundred twenty-eight thousand, eight hundred ninety-six".