27948499049955 has 128 divisors (see below), whose sum is σ = 50800715513856. Its totient is φ = 13002498432000.

The previous prime is 27948499049897. The next prime is 27948499049983. The reversal of 27948499049955 is 55994099484972.

It is a Cunningham number, because it is equal to 5286634²-1.

It is not a de Polignac number, because 27948499049955 - 2¹⁴ = 27948499033571 is a prime.

It is a super-2 number, since 2×27948499049955² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 174378855 + ... + 174539055.

It is an arithmetic number, because the mean of its divisors is an integer number (396880589952).

Almost surely, 2^{27948499049955} is an apocalyptic number.

27948499049955 is a deficient number, since it is larger than the sum of its proper divisors (22852216463901).

27948499049955 is a wasteful number, since it uses less digits than its factorization.

27948499049955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160697.

The product of its (nonzero) digits is 10581580800, while the sum is 84.

The spelling of 27948499049955 in words is "twenty-seven trillion, nine hundred forty-eight billion, four hundred ninety-nine million, forty-nine thousand, nine hundred fifty-five".