27457275472 has 60 divisors (see below), whose sum is σ = 58726280340. Its totient is φ = 12426810880.

The previous prime is 27457275463. The next prime is 27457275511.

27457275472 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 12826921536 + 14630353936 = 113256^2 + 120956^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 420654 + ... + 481522.

It is an arithmetic number, because the mean of its divisors is an integer number (978771339).

Almost surely, 2^27457275472 is an apocalyptic number.

27457275472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27457275472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29363140170).

27457275472 is an abundant number, since it is smaller than the sum of its proper divisors (31269004868).

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

27457275472 is a wasteful number, since it uses less digits than its factorization.

27457275472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61132 (or 61115 counting only the distinct ones).

The product of its digits is 7683200, while the sum is 52.

The spelling of 27457275472 in words is "twenty-seven billion, four hundred fifty-seven million, two hundred seventy-five thousand, four hundred seventy-two".