22202554004400 has 960 divisors, whose sum is σ = 89619701400576. Its totient is φ = 4564353024000.

The previous prime is 22202554004387. The next prime is 22202554004429. The reversal of 22202554004400 is 440045520222.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6901631592 + ... + 6901634808.

Almost surely, 2^{22202554004400} is an apocalyptic number.

22202554004400 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 22202554004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44809850700288).

22202554004400 is an abundant number, since it is smaller than the sum of its proper divisors (67417147396176).

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

22202554004400 is a wasteful number, since it uses less digits than its factorization.

22202554004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4030 (or 4019 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

Adding to 22202554004400 its reverse (440045520222), we get a palindrome (22642599524622).

The spelling of 22202554004400 in words is "twenty-two trillion, two hundred two billion, five hundred fifty-four million, four thousand, four hundred".