27825455452872 has 128 divisors (see below), whose sum is σ = 88844026521600. Its totient is φ = 7051113177600.

The previous prime is 27825455452867. The next prime is 27825455452933.

27825455452872 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×27825455452872² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183546972 + ... + 183698507.

It is an arithmetic number, because the mean of its divisors is an integer number (694093957200).

Almost surely, 2^{27825455452872} is an apocalyptic number.

27825455452872 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27825455452872 is an abundant number, since it is smaller than the sum of its proper divisors (61018571068728).

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

27825455452872 is a wasteful number, since it uses less digits than its factorization.

27825455452872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367245547 (or 367245543 counting only the distinct ones).

The product of its digits is 501760000, while the sum is 66.

The spelling of 27825455452872 in words is "twenty-seven trillion, eight hundred twenty-five billion, four hundred fifty-five million, four hundred fifty-two thousand, eight hundred seventy-two".