22780918118400 has 1152 divisors, whose sum is σ = 87365328261120. Its totient is φ = 5190451200000.

The previous prime is 22780918118381. The next prime is 22780918118407. The reversal of 22780918118400 is 481181908722.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22780918118407) 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 95 ways as a sum of consecutive naturals, for example, 1423710400 + ... + 1423726400.

It is an arithmetic number, because the mean of its divisors is an integer number (75837958560).

Almost surely, 2^{22780918118400} is an apocalyptic number.

22780918118400 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 22780918118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43682664130560).

22780918118400 is an abundant number, since it is smaller than the sum of its proper divisors (64584410142720).

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

22780918118400 is a wasteful number, since it uses less digits than its factorization.

22780918118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16103 (or 16078 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 51.

The spelling of 22780918118400 in words is "twenty-two trillion, seven hundred eighty billion, nine hundred eighteen million, one hundred eighteen thousand, four hundred".