27738131625 has 48 divisors (see below), whose sum is σ = 50470138368. Its totient is φ = 14655348000.

The previous prime is 27738131599. The next prime is 27738131693. The reversal of 27738131625 is 52613183772.

27738131625 is a `hidden beast` number, since 2 + 7 + 7 + 3 + 8 + 13 + 1 + 625 = 666.

It is not a de Polignac number, because 27738131625 - 2¹⁰ = 27738130601 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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5160 + ... + 235590.

It is an arithmetic number, because the mean of its divisors is an integer number (1051461216).

Almost surely, 2^27738131625 is an apocalyptic number.

27738131625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

27738131625 is a deficient number, since it is larger than the sum of its proper divisors (22732006743).

27738131625 is a wasteful number, since it uses less digits than its factorization.

27738131625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230559 (or 230546 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The spelling of 27738131625 in words is "twenty-seven billion, seven hundred thirty-eight million, one hundred thirty-one thousand, six hundred twenty-five".