27253465272 has 144 divisors (see below), whose sum is σ = 85537506600. Its totient is φ = 7772759040.

The previous prime is 27253465241. The next prime is 27253465277. The reversal of 27253465272 is 27256435272.

27253465272 is a `hidden beast` number, since 2 + 72 + 53 + 4 + 6 + 527 + 2 = 666.

It is a super-2 number, since 2×27253465272² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27253465277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 169354 + ... + 288422.

Almost surely, 2^27253465272 is an apocalyptic number.

27253465272 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 27253465272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42768753300).

27253465272 is an abundant number, since it is smaller than the sum of its proper divisors (58284041328).

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

27253465272 is a wasteful number, since it uses less digits than its factorization.

27253465272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119126 (or 119102 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 45.

The spelling of 27253465272 in words is "twenty-seven billion, two hundred fifty-three million, four hundred sixty-five thousand, two hundred seventy-two".