22133054400000 has 1440 divisors, whose sum is σ = 79579639139616. Its totient is φ = 5463244800000.

The previous prime is 22133054399993. The next prime is 22133054400001. The reversal of 22133054400000 is 445033122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22133054400001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 91838399880 + ... + 91838400120.

Almost surely, 2^{22133054400000} is an apocalyptic number.

22133054400000 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 22133054400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39789819569808).

22133054400000 is an abundant number, since it is smaller than the sum of its proper divisors (57446584739616).

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

22133054400000 is an frugal number, since it uses more digits than its factorization.

22133054400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 22133054400000 its reverse (445033122), we get a palindrome (22133499433122).

The spelling of 22133054400000 in words is "twenty-two trillion, one hundred thirty-three billion, fifty-four million, four hundred thousand".