21830032919808 has 432 divisors, whose sum is σ = 64688586655056. Its totient is φ = 7077764136960.

The previous prime is 21830032919777. The next prime is 21830032919921. The reversal of 21830032919808 is 80891923003812.

21830032919808 is a `hidden beast` number, since 2 + 1 + 8 + 300 + 329 + 1 + 9 + 8 + 0 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4650267976704 + 17179764943104 = 2156448^2 + 4144848^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5333502210 + ... + 5333506302.

Almost surely, 2^{21830032919808} 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 21830032919808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32344293327528).

21830032919808 is an abundant number, since it is smaller than the sum of its proper divisors (42858553735248).

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

21830032919808 is a wasteful number, since it uses less digits than its factorization.

21830032919808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4590 (or 4573 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 21830032919808 in words is "twenty-one trillion, eight hundred thirty billion, thirty-two million, nine hundred nineteen thousand, eight hundred eight".