21489030682056 has 384 divisors, whose sum is σ = 67251824640000. Its totient is φ = 6072103872000.

The previous prime is 21489030682051. The next prime is 21489030682081. The reversal of 21489030682056 is 65028603098412.

21489030682056 is a `hidden beast` number, since 2 + 1 + 48 + 90 + 306 + 8 + 205 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21489030681993 and 21489030682011.

It is not an unprimeable number, because it can be changed into a prime (21489030682051) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12216616905 + ... + 12216618663.

It is an arithmetic number, because the mean of its divisors is an integer number (175134960000).

Almost surely, 2^{21489030682056} 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 21489030682056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33625912320000).

21489030682056 is an abundant number, since it is smaller than the sum of its proper divisors (45762793957944).

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

21489030682056 is a wasteful number, since it uses less digits than its factorization.

21489030682056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2657 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 21489030682056 in words is "twenty-one trillion, four hundred eighty-nine billion, thirty million, six hundred eighty-two thousand, fifty-six".