27252875468288 has 160 divisors (see below), whose sum is σ = 63328827767040. Its totient is φ = 11621631098880.

The previous prime is 27252875468279. The next prime is 27252875468303. The reversal of 27252875468288 is 88286457825272.

27252875468288 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×27252875468288³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221183 + ... + 7386113.

It is an arithmetic number, because the mean of its divisors is an integer number (395805173544).

Almost surely, 2^{27252875468288} 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 27252875468288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31664413883520).

27252875468288 is an abundant number, since it is smaller than the sum of its proper divisors (36075952298752).

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

27252875468288 is a wasteful number, since it uses less digits than its factorization.

27252875468288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7165008 (or 7164992 counting only the distinct ones).

The product of its digits is 1926758400, while the sum is 74.

The spelling of 27252875468288 in words is "twenty-seven trillion, two hundred fifty-two billion, eight hundred seventy-five million, four hundred sixty-eight thousand, two hundred eighty-eight".