22055245747920 has 720 divisors, whose sum is σ = 96287250346560. Its totient is φ = 4471126732800.

The previous prime is 22055245747903. The next prime is 22055245747921. The reversal of 22055245747920 is 2974754255022.

It is a happy number.

22055245747920 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 524 + 57 + 47 + 9 + 20 = 666.

22055245747920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×22055245747920² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22055245747921) 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 143 ways as a sum of consecutive naturals, for example, 15218211 + ... + 16604349.

It is an arithmetic number, because the mean of its divisors is an integer number (133732292148).

Almost surely, 2^{22055245747920} is an apocalyptic number.

22055245747920 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 22055245747920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48143625173280).

22055245747920 is an abundant number, since it is smaller than the sum of its proper divisors (74232004598640).

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

22055245747920 is a wasteful number, since it uses less digits than its factorization.

22055245747920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386224 (or 1386208 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 54.

The spelling of 22055245747920 in words is "twenty-two trillion, fifty-five billion, two hundred forty-five million, seven hundred forty-seven thousand, nine hundred twenty".