21777828281622 has 192 divisors, whose sum is σ = 56202613084800. Its totient is φ = 5962931896320.

The previous prime is 21777828281617. The next prime is 21777828281681. The reversal of 21777828281622 is 22618282877712.

It is a happy number.

21777828281622 is a `hidden beast` number, since 217 + 7 + 7 + 8 + 282 + 81 + 62 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 21777828281622.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 263839654 + ... + 263922182.

It is an arithmetic number, because the mean of its divisors is an integer number (292721943150).

Almost surely, 2^{21777828281622} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21777828281622, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28101306542400).

21777828281622 is an abundant number, since it is smaller than the sum of its proper divisors (34424784803178).

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

21777828281622 is a wasteful number, since it uses less digits than its factorization.

21777828281622 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83111 (or 83108 counting only the distinct ones).

The product of its digits is 33718272, while the sum is 63.

The spelling of 21777828281622 in words is "twenty-one trillion, seven hundred seventy-seven billion, eight hundred twenty-eight million, two hundred eighty-one thousand, six hundred twenty-two".