22180648089600 has 5184 divisors, whose sum is σ = 112025887384320. Its totient is φ = 4223375769600.

The previous prime is 22180648089599. The next prime is 22180648089601. The reversal of 22180648089600 is 698084608122.

22180648089600 is a `hidden beast` number, since 2 + 2 + 1 + 80 + 6 + 480 + 89 + 6 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22180648089599) and next prime (22180648089601).

It is a tau number, because it is divible by the number of its divisors (5184).

It is a super-2 number, since 2×22180648089600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22180648089601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 161902540732 + ... + 161902540868.

It is an arithmetic number, because the mean of its divisors is an integer number (21609931980).

Almost surely, 2^{22180648089600} is an apocalyptic number.

22180648089600 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 22180648089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56012943692160).

22180648089600 is an abundant number, since it is smaller than the sum of its proper divisors (89845239294720).

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

22180648089600 is a wasteful number, since it uses less digits than its factorization.

22180648089600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 22180648089600 in words is "twenty-two trillion, one hundred eighty billion, six hundred forty-eight million, eighty-nine thousand, six hundred".