27859456820 has 48 divisors (see below), whose sum is σ = 63017547600. Its totient is φ = 10284558336.

The previous prime is 27859456799. The next prime is 27859456853. The reversal of 27859456820 is 2865495872.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3709053604 + 24150403216 = 60902^2 + 155404^2 .

It is a super-2 number, since 2×27859456820² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2306156 + ... + 2318204.

It is an arithmetic number, because the mean of its divisors is an integer number (1312865575).

Almost surely, 2^27859456820 is an apocalyptic number.

27859456820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27859456820 is an abundant number, since it is smaller than the sum of its proper divisors (35158090780).

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

27859456820 is a wasteful number, since it uses less digits than its factorization.

27859456820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20964 (or 20962 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 56.

The spelling of 27859456820 in words is "twenty-seven billion, eight hundred fifty-nine million, four hundred fifty-six thousand, eight hundred twenty".