27759226890348 has 144 divisors (see below), whose sum is σ = 73341435847680. Its totient is φ = 8836095531648.

The previous prime is 27759226890347. The next prime is 27759226890389. The reversal of 27759226890348 is 84309862295772.

27759226890348 is a `hidden beast` number, since 2 + 7 + 7 + 59 + 226 + 8 + 9 + 0 + 348 = 666.

It is a super-2 number, since 2×27759226890348² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (27759226890347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3026183890 + ... + 3026193062.

It is an arithmetic number, because the mean of its divisors is an integer number (509315526720).

Almost surely, 2^{27759226890348} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27759226890348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36670717923840).

27759226890348 is an abundant number, since it is smaller than the sum of its proper divisors (45582208957332).

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

27759226890348 is a wasteful number, since it uses less digits than its factorization.

27759226890348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14868 (or 14863 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 27759226890348 in words is "twenty-seven trillion, seven hundred fifty-nine billion, two hundred twenty-six million, eight hundred ninety thousand, three hundred forty-eight".