27794136825 has 384 divisors, whose sum is σ = 68195635200. Its totient is φ = 10764472320.

The previous prime is 27794136823. The next prime is 27794136913. The reversal of 27794136825 is 52863149772.

It is a happy number.

27794136825 is a `hidden beast` number, since 277 + 9 + 4 + 1 + 368 + 2 + 5 = 666.

It is not a de Polignac number, because 27794136825 - 2¹ = 27794136823 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27794136823) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 44901366 + ... + 44901984.

It is an arithmetic number, because the mean of its divisors is an integer number (177592800).

Almost surely, 2^27794136825 is an apocalyptic number.

27794136825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

27794136825 is an abundant number, since it is smaller than the sum of its proper divisors (40401498375).

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

27794136825 is a wasteful number, since it uses less digits than its factorization.

27794136825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 707 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 27794136825 in words is "twenty-seven billion, seven hundred ninety-four million, one hundred thirty-six thousand, eight hundred twenty-five".