27825652872 has 32 divisors (see below), whose sum is σ = 77293480800. Its totient is φ = 9275217552.

The previous prime is 27825652861. The next prime is 27825652873.

27825652872 is a `hidden beast` number, since 2 + 7 + 8 + 2 + 565 + 2 + 8 + 72 = 666.

27825652872 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (27825652873) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64411018 + ... + 64411449.

It is an arithmetic number, because the mean of its divisors is an integer number (2415421275).

Almost surely, 2^27825652872 is an apocalyptic number.

It is an amenable number.

27825652872 is an abundant number, since it is smaller than the sum of its proper divisors (49467827928).

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

27825652872 is a wasteful number, since it uses less digits than its factorization.

27825652872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128822482 (or 128822472 counting only the distinct ones).

The product of its digits is 7526400, while the sum is 54.

The spelling of 27825652872 in words is "twenty-seven billion, eight hundred twenty-five million, six hundred fifty-two thousand, eight hundred seventy-two".