20225172441600 has 1920 divisors, whose sum is σ = 86941397537280. Its totient is φ = 4509534781440.

The previous prime is 20225172441571. The next prime is 20225172441623. The reversal of 20225172441600 is 614427152202.

20225172441600 is a `hidden beast` number, since 2 + 0 + 2 + 2 + 5 + 1 + 7 + 2 + 4 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×20225172441600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 29874700462 + ... + 29874701138.

It is an arithmetic number, because the mean of its divisors is an integer number (45281977884).

Almost surely, 2^{20225172441600} is an apocalyptic number.

20225172441600 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 20225172441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43470698768640).

20225172441600 is an abundant number, since it is smaller than the sum of its proper divisors (66716225095680).

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

20225172441600 is a wasteful number, since it uses less digits than its factorization.

20225172441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 20225172441600 its reverse (614427152202), we get a palindrome (20839599593802).

The spelling of 20225172441600 in words is "twenty trillion, two hundred twenty-five billion, one hundred seventy-two million, four hundred forty-one thousand, six hundred".