21886765056 has 576 divisors, whose sum is σ = 75125232000. Its totient is φ = 6306398208.

The previous prime is 21886765051. The next prime is 21886765093. The reversal of 21886765056 is 65056768812.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 21886764993 and 21886765011.

It is not an unprimeable number, because it can be changed into a prime (21886765051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109983645 + ... + 109983843.

It is an arithmetic number, because the mean of its divisors is an integer number (130425750).

Almost surely, 2^21886765056 is an apocalyptic number.

21886765056 is a gapful number since it is divisible by the number (26) 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 21886765056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37562616000).

21886765056 is an abundant number, since it is smaller than the sum of its proper divisors (53238466944).

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

21886765056 is a wasteful number, since it uses less digits than its factorization.

21886765056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 21886765056 in words is "twenty-one billion, eight hundred eighty-six million, seven hundred sixty-five thousand, fifty-six".