27613073212100 has 72 divisors (see below), whose sum is σ = 60472500137280. Its totient is φ = 10943461998720.

The previous prime is 27613073212057. The next prime is 27613073212163. The reversal of 27613073212100 is 121237031672.

It is a happy number.

It is a super-2 number, since 2×27613073212100² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 540908777 + ... + 540959823.

It is an arithmetic number, because the mean of its divisors is an integer number (839895835240).

Almost surely, 2^{27613073212100} is an apocalyptic number.

27613073212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27613073212100 is an abundant number, since it is smaller than the sum of its proper divisors (32859426925180).

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

27613073212100 is a wasteful number, since it uses less digits than its factorization.

27613073212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100797 (or 100790 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The spelling of 27613073212100 in words is "twenty-seven trillion, six hundred thirteen billion, seventy-three million, two hundred twelve thousand, one hundred".