27275638293820 has 96 divisors (see below), whose sum is σ = 65828298332160. Its totient is φ = 9299260235520.

The previous prime is 27275638293809. The next prime is 27275638293881. The reversal of 27275638293820 is 2839283657272.

It is a congruent number.

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, 404367337 + ... + 404434783.

It is an arithmetic number, because the mean of its divisors is an integer number (685711440960).

Almost surely, 2^{27275638293820} is an apocalyptic number.

27275638293820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27275638293820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32914149166080).

27275638293820 is an abundant number, since it is smaller than the sum of its proper divisors (38552660038340).

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

27275638293820 is a wasteful number, since it uses less digits than its factorization.

27275638293820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83603 (or 83601 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 64.

The spelling of 27275638293820 in words is "twenty-seven trillion, two hundred seventy-five billion, six hundred thirty-eight million, two hundred ninety-three thousand, eight hundred twenty".