27872585117312 has 128 divisors (see below), whose sum is σ = 59881630448640. Its totient is φ = 12846455635968.

The previous prime is 27872585117207. The next prime is 27872585117317. The reversal of 27872585117312 is 21371158527872.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×27872585117312² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27872585117317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4935818873 + ... + 4935824519.

It is an arithmetic number, because the mean of its divisors is an integer number (467825237880).

Almost surely, 2^{27872585117312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27872585117312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29940815224320).

27872585117312 is an abundant number, since it is smaller than the sum of its proper divisors (32009045331328).

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

27872585117312 is a wasteful number, since it uses less digits than its factorization.

27872585117312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9258 (or 9246 counting only the distinct ones).

The product of its digits is 13171200, while the sum is 59.

The spelling of 27872585117312 in words is "twenty-seven trillion, eight hundred seventy-two billion, five hundred eighty-five million, one hundred seventeen thousand, three hundred twelve".