27229635200000 has 132 divisors (see below), whose sum is σ = 68036502080484. Its totient is φ = 10891852800000.

The previous prime is 27229635199993. The next prime is 27229635200051. The reversal of 27229635200000 is 253692272.

It can be written as a sum of positive squares in 6 ways, for example, as 19464896905216 + 7764738294784 = 4411904^2 + 2786528^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 1054631 + ... + 7454630.

Almost surely, 2^{27229635200000} is an apocalyptic number.

27229635200000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27229635200000 is an abundant number, since it is smaller than the sum of its proper divisors (40806866880484).

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

27229635200000 is an frugal number, since it uses more digits than its factorization.

27229635200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8509306 (or 8509268 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

Adding to 27229635200000 its reverse (253692272), we get a palindrome (27229888892272).

The spelling of 27229635200000 in words is "twenty-seven trillion, two hundred twenty-nine billion, six hundred thirty-five million, two hundred thousand".