27964776853241 has 16 divisors (see below), whose sum is σ = 29356837171200. Its totient is φ = 26603361642000.

The previous prime is 27964776853217. The next prime is 27964776853249. The reversal of 27964776853241 is 14235867746972.

It is a cyclic number.

It is not a de Polignac number, because 27964776853241 - 2⁴² = 23566730342137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27964776853249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87960716 + ... + 88278066.

It is an arithmetic number, because the mean of its divisors is an integer number (1834802323200).

Almost surely, 2^{27964776853241} is an apocalyptic number.

It is an amenable number.

27964776853241 is a deficient number, since it is larger than the sum of its proper divisors (1392060317959).

27964776853241 is a wasteful number, since it uses less digits than its factorization.

27964776853241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365620.

The product of its digits is 853493760, while the sum is 71.

The spelling of 27964776853241 in words is "twenty-seven trillion, nine hundred sixty-four billion, seven hundred seventy-six million, eight hundred fifty-three thousand, two hundred forty-one".