27802265040 has 200 divisors, whose sum is σ = 105339963168. Its totient is φ = 6739925760.

The previous prime is 27802265011. The next prime is 27802265041. The reversal of 27802265040 is 4056220872.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27802264986 and 27802265004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27802265041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 123742 + ... + 266301.

Almost surely, 2^27802265040 is an apocalyptic number.

27802265040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27802265040 is an abundant number, since it is smaller than the sum of its proper divisors (77537698128).

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

27802265040 is a wasteful number, since it uses less digits than its factorization.

27802265040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390079 (or 390064 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 27802265040 in words is "twenty-seven billion, eight hundred two million, two hundred sixty-five thousand, forty".