27458243490825 has 72 divisors (see below), whose sum is σ = 56207914963200. Its totient is φ = 12552043668480.

The previous prime is 27458243490823. The next prime is 27458243490833. The reversal of 27458243490825 is 52809434285472.

27458243490825 is a `hidden beast` number, since 2 + 7 + 4 + 5 + 82 + 43 + 490 + 8 + 25 = 666.

It is not a de Polignac number, because 27458243490825 - 2¹ = 27458243490823 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (27458243490823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 75369456 + ... + 75732894.

It is an arithmetic number, because the mean of its divisors is an integer number (780665485600).

Almost surely, 2^{27458243490825} is an apocalyptic number.

27458243490825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

27458243490825 is an abundant number, since it is smaller than the sum of its proper divisors (28749671472375).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27458243490825 is a wasteful number, since it uses less digits than its factorization.

27458243490825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411431 (or 411423 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 63.

The spelling of 27458243490825 in words is "twenty-seven trillion, four hundred fifty-eight billion, two hundred forty-three million, four hundred ninety thousand, eight hundred twenty-five".