27382201820 has 12 divisors (see below), whose sum is σ = 57502623864. Its totient is φ = 10952880720.

The previous prime is 27382201817. The next prime is 27382201829. The reversal of 27382201820 is 2810228372.

It is a happy number.

It is a super-2 number, since 2×27382201820² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27382201829) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 684555026 + ... + 684555065.

It is an arithmetic number, because the mean of its divisors is an integer number (4791885322).

Almost surely, 2^27382201820 is an apocalyptic number.

27382201820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27382201820 is an abundant number, since it is smaller than the sum of its proper divisors (30120422044).

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

27382201820 is a wasteful number, since it uses less digits than its factorization.

27382201820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369110100 (or 1369110098 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The spelling of 27382201820 in words is "twenty-seven billion, three hundred eighty-two million, two hundred one thousand, eight hundred twenty".