22516719552 has 280 divisors, whose sum is σ = 69394913280. Its totient is φ = 7211358720.

The previous prime is 22516719551. The next prime is 22516719559. The reversal of 22516719552 is 25591761522.

22516719552 is a `hidden beast` number, since 2 + 25 + 1 + 6 + 71 + 9 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 22516719498 and 22516719507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22516719551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26837149 + ... + 26837987.

It is an arithmetic number, because the mean of its divisors is an integer number (247838976).

Almost surely, 2^22516719552 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 22516719552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34697456640).

22516719552 is an abundant number, since it is smaller than the sum of its proper divisors (46878193728).

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

22516719552 is a wasteful number, since it uses less digits than its factorization.

22516719552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1042 counting only the distinct ones).

The product of its digits is 378000, while the sum is 45.

The spelling of 22516719552 in words is "twenty-two billion, five hundred sixteen million, seven hundred nineteen thousand, five hundred fifty-two".