27608513625 has 96 divisors (see below), whose sum is σ = 62049791232. Its totient is φ = 11473632000.

The previous prime is 27608513609. The next prime is 27608513663. The reversal of 27608513625 is 52631580672.

27608513625 is a `hidden beast` number, since 2 + 7 + 6 + 0 + 8 + 5 + 13 + 625 = 666.

It is not a de Polignac number, because 27608513625 - 2⁴ = 27608513609 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 72732 + ... + 245981.

It is an arithmetic number, because the mean of its divisors is an integer number (646351992).

Almost surely, 2^27608513625 is an apocalyptic number.

27608513625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

27608513625 is an abundant number, since it is smaller than the sum of its proper divisors (34441277607).

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

27608513625 is a wasteful number, since it uses less digits than its factorization.

27608513625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318752 (or 318739 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 27608513625 in words is "twenty-seven billion, six hundred eight million, five hundred thirteen thousand, six hundred twenty-five".