27655895760 has 40 divisors (see below), whose sum is σ = 85733277600. Its totient is φ = 7374905472.

The previous prime is 27655895747. The next prime is 27655895777. The reversal of 27655895760 is 6759855672.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 27655895694 and 27655895703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57616210 + ... + 57616689.

It is an arithmetic number, because the mean of its divisors is an integer number (2143331940).

Almost surely, 2^27655895760 is an apocalyptic number.

27655895760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27655895760 is an abundant number, since it is smaller than the sum of its proper divisors (58077381840).

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

27655895760 is a wasteful number, since it uses less digits than its factorization.

27655895760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115232915 (or 115232909 counting only the distinct ones).

The product of its (nonzero) digits is 31752000, while the sum is 60.

The spelling of 27655895760 in words is "twenty-seven billion, six hundred fifty-five million, eight hundred ninety-five thousand, seven hundred sixty".