27295807680 has 140 divisors (see below), whose sum is σ = 97096082160. Its totient is φ = 7278875136.

The previous prime is 27295807559. The next prime is 27295807697. The reversal of 27295807680 is 8670859272.

It is a happy number.

It is a super-2 number, since 2×27295807680² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 500620 + ... + 552459.

It is an arithmetic number, because the mean of its divisors is an integer number (693543444).

Almost surely, 2^27295807680 is an apocalyptic number.

27295807680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27295807680 is an abundant number, since it is smaller than the sum of its proper divisors (69800274480).

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

27295807680 is a wasteful number, since it uses less digits than its factorization.

27295807680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053108 (or 1053089 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 27295807680 in words is "twenty-seven billion, two hundred ninety-five million, eight hundred seven thousand, six hundred eighty".