27968911027200 has 4224 divisors, whose sum is σ = 129873837542400. Its totient is φ = 5796790272000.

The previous prime is 27968911027159. The next prime is 27968911027229. The reversal of 27968911027200 is 272011986972.

27968911027200 is a `hidden beast` number, since 279 + 6 + 8 + 91 + 10 + 272 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 99533491060 + ... + 99533491340.

Almost surely, 2^{27968911027200} is an apocalyptic number.

27968911027200 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 27968911027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64936918771200).

27968911027200 is an abundant number, since it is smaller than the sum of its proper divisors (101904926515200).

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

27968911027200 is a wasteful number, since it uses less digits than its factorization.

27968911027200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 27968911027200 in words is "twenty-seven trillion, nine hundred sixty-eight billion, nine hundred eleven million, twenty-seven thousand, two hundred".