22191881065200 has 720 divisors, whose sum is σ = 96140089783296. Its totient is φ = 4605290035200.

The previous prime is 22191881065171. The next prime is 22191881065213. The reversal of 22191881065200 is 256018819122.

22191881065200 is a `hidden beast` number, since 2 + 2 + 1 + 9 + 18 + 8 + 106 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 214223817 + ... + 214327383.

Almost surely, 2^{22191881065200} is an apocalyptic number.

22191881065200 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 22191881065200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48070044891648).

22191881065200 is an abundant number, since it is smaller than the sum of its proper divisors (73948208718096).

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

22191881065200 is a wasteful number, since it uses less digits than its factorization.

22191881065200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104382 (or 104368 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 22191881065200 in words is "twenty-two trillion, one hundred ninety-one billion, eight hundred eighty-one million, sixty-five thousand, two hundred".