27966264277120 has 256 divisors, whose sum is σ = 73318706496000. Its totient is φ = 10138296729600.

The previous prime is 27966264277099. The next prime is 27966264277121. The reversal of 27966264277120 is 2177246266972.

It is a super-2 number, since 2×27966264277120² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27966264277121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117534270 + ... + 117771970.

It is an arithmetic number, because the mean of its divisors is an integer number (286401197250).

Almost surely, 2^{27966264277120} is an apocalyptic number.

27966264277120 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 27966264277120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36659353248000).

27966264277120 is an abundant number, since it is smaller than the sum of its proper divisors (45352442218880).

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

27966264277120 is a wasteful number, since it uses less digits than its factorization.

27966264277120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237991 (or 237979 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 61.

The spelling of 27966264277120 in words is "twenty-seven trillion, nine hundred sixty-six billion, two hundred sixty-four million, two hundred seventy-seven thousand, one hundred twenty".