22250742288480 has 1920 divisors, whose sum is σ = 88772408524800. Its totient is φ = 5219478798336.

The previous prime is 22250742288479. The next prime is 22250742288491. The reversal of 22250742288480 is 8488224705222.

22250742288480 is a `hidden beast` number, since 2 + 2 + 250 + 74 + 2 + 288 + 48 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 46452488881 + ... + 46452489359.

It is an arithmetic number, because the mean of its divisors is an integer number (46235629440).

Almost surely, 2^{22250742288480} is an apocalyptic number.

22250742288480 is a gapful number since it is divisible by the number (20) 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 22250742288480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44386204262400).

22250742288480 is an abundant number, since it is smaller than the sum of its proper divisors (66521666236320).

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

22250742288480 is a wasteful number, since it uses less digits than its factorization.

22250742288480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 9175040, while the sum is 54.

The spelling of 22250742288480 in words is "twenty-two trillion, two hundred fifty billion, seven hundred forty-two million, two hundred eighty-eight thousand, four hundred eighty".