22215105055200 has 1152 divisors, whose sum is σ = 78854021769600. Its totient is φ = 5412225024000.

The previous prime is 22215105055163. The next prime is 22215105055229. The reversal of 22215105055200 is 255050151222.

It is a super-2 number, since 2×22215105055200² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 59557922214 + ... + 59557922586.

It is an arithmetic number, because the mean of its divisors is an integer number (68449671675).

Almost surely, 2^{22215105055200} is an apocalyptic number.

22215105055200 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 22215105055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39427010884800).

22215105055200 is an abundant number, since it is smaller than the sum of its proper divisors (56638916714400).

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

22215105055200 is a wasteful number, since it uses less digits than its factorization.

22215105055200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 30.

The spelling of 22215105055200 in words is "twenty-two trillion, two hundred fifteen billion, one hundred five million, fifty-five thousand, two hundred".