27222210432000 has 1760 divisors, whose sum is σ = 110067854472576. Its totient is φ = 6663831552000.

The previous prime is 27222210431971. The next prime is 27222210432023. The reversal of 27222210432000 is 23401222272.

27222210432000 is a `hidden beast` number, since 2 + 7 + 2 + 2 + 221 + 0 + 432 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7226494117 + ... + 7226497883.

Almost surely, 2^{27222210432000} is an apocalyptic number.

27222210432000 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 27222210432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55033927236288).

27222210432000 is an abundant number, since it is smaller than the sum of its proper divisors (82845644040576).

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

27222210432000 is a wasteful number, since it uses less digits than its factorization.

27222210432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3872 (or 3835 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

Adding to 27222210432000 its reverse (23401222272), we get a palindrome (27245611654272).

The spelling of 27222210432000 in words is "twenty-seven trillion, two hundred twenty-two billion, two hundred ten million, four hundred thirty-two thousand".