27550306856961 has 256 divisors, whose sum is σ = 49770631004160. Its totient is φ = 14730442272000.

The previous prime is 27550306856923. The next prime is 27550306856971. The reversal of 27550306856961 is 16965860305572.

It is a happy number.

27550306856961 is a `hidden beast` number, since 2 + 7 + 5 + 5 + 0 + 3 + 0 + 6 + 8 + 569 + 61 = 666.

It is not a de Polignac number, because 27550306856961 - 2¹¹ = 27550306854913 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (27550306856971) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 17855026356 + ... + 17855027898.

It is an arithmetic number, because the mean of its divisors is an integer number (194416527360).

Almost surely, 2^{27550306856961} is an apocalyptic number.

27550306856961 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

27550306856961 is a deficient number, since it is larger than the sum of its proper divisors (22220324147199).

27550306856961 is a wasteful number, since it uses less digits than its factorization.

27550306856961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2305 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 27550306856961 in words is "twenty-seven trillion, five hundred fifty billion, three hundred six million, eight hundred fifty-six thousand, nine hundred sixty-one".