27357024006153 has 40 divisors (see below), whose sum is σ = 40898748844800. Its totient is φ = 18223701293952.

The previous prime is 27357024006083. The next prime is 27357024006161. The reversal of 27357024006153 is 35160042075372.

27357024006153 is a `hidden beast` number, since 2 + 7 + 3 + 5 + 7 + 0 + 24 + 0 + 0 + 615 + 3 = 666.

It is not a de Polignac number, because 27357024006153 - 2¹⁷ = 27357023875081 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 27357024006099 and 27357024006108.

It is not an unprimeable number, because it can be changed into a prime (27357024006173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1398682588 + ... + 1398702146.

It is an arithmetic number, because the mean of its divisors is an integer number (1022468721120).

Almost surely, 2^{27357024006153} is an apocalyptic number.

It is an amenable number.

27357024006153 is a deficient number, since it is larger than the sum of its proper divisors (13541724838647).

27357024006153 is a wasteful number, since it uses less digits than its factorization.

27357024006153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32243 (or 32234 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 27357024006153 in words is "twenty-seven trillion, three hundred fifty-seven billion, twenty-four million, six thousand, one hundred fifty-three".