27153400959 has 64 divisors (see below), whose sum is σ = 42118704000. Its totient is φ = 17267604480.

The previous prime is 27153400933. The next prime is 27153400961. The reversal of 27153400959 is 95900435172.

It is a happy number.

27153400959 is a `hidden beast` number, since 2 + 7 + 153 + 400 + 95 + 9 = 666.

It is not a de Polignac number, because 27153400959 - 2⁷ = 27153400831 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27153400919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28855429 + ... + 28856369.

It is an arithmetic number, because the mean of its divisors is an integer number (658104750).

Almost surely, 2^27153400959 is an apocalyptic number.

27153400959 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

27153400959 is a deficient number, since it is larger than the sum of its proper divisors (14965303041).

27153400959 is a wasteful number, since it uses less digits than its factorization.

27153400959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 27153400959 in words is "twenty-seven billion, one hundred fifty-three million, four hundred thousand, nine hundred fifty-nine".