22103218880640 has 1024 divisors, whose sum is σ = 84183619852800. Its totient is φ = 5529421283328.

The previous prime is 22103218880609. The next prime is 22103218880647. The reversal of 22103218880640 is 4608881230122.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (22103218880647) 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 127 ways as a sum of consecutive naturals, for example, 8256710982 + ... + 8256713658.

Almost surely, 2^{22103218880640} is an apocalyptic number.

22103218880640 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 22103218880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42091809926400).

22103218880640 is an abundant number, since it is smaller than the sum of its proper divisors (62080400972160).

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

22103218880640 is an equidigital number, since it uses as much as digits as its factorization.

22103218880640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3081 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 22103218880640 in words is "twenty-two trillion, one hundred three billion, two hundred eighteen million, eight hundred eighty thousand, six hundred forty".