27730050040 has 64 divisors (see below), whose sum is σ = 77788200960. Its totient is φ = 8643131520.

The previous prime is 27730050031. The next prime is 27730050043. The reversal of 27730050040 is 4005003772.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 27730049990 and 27730050008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27730050043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4498552 + ... + 4504711.

It is an arithmetic number, because the mean of its divisors is an integer number (1215440640).

Almost surely, 2^27730050040 is an apocalyptic number.

27730050040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27730050040 is an abundant number, since it is smaller than the sum of its proper divisors (50058150920).

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

27730050040 is a wasteful number, since it uses less digits than its factorization.

27730050040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9003292 (or 9003288 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 28.

The spelling of 27730050040 in words is "twenty-seven billion, seven hundred thirty million, fifty thousand, forty".