27702122120772 has 48 divisors (see below), whose sum is σ = 70519607424000. Its totient is φ = 8393973561760.

The previous prime is 27702122120753. The next prime is 27702122120819.

27702122120772 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5782872 + ... + 9425807.

It is an arithmetic number, because the mean of its divisors is an integer number (1469158488000).

Almost surely, 2^{27702122120772} is an apocalyptic number.

27702122120772 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27702122120772 is an abundant number, since it is smaller than the sum of its proper divisors (42817485303228).

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

27702122120772 is a wasteful number, since it uses less digits than its factorization.

27702122120772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15222496 (or 15222494 counting only the distinct ones).

The product of its (nonzero) digits is 153664, while the sum is 42.

It can be divided in two parts, 2770212 and 2120772, that added together give a palindrome (4890984).

The spelling of 27702122120772 in words is "twenty-seven trillion, seven hundred two billion, one hundred twenty-two million, one hundred twenty thousand, seven hundred seventy-two".