27257413716 has 72 divisors (see below), whose sum is σ = 74293488360. Its totient is φ = 8376413184.

The previous prime is 27257413649. The next prime is 27257413723. The reversal of 27257413716 is 61731475272.

27257413716 is a `hidden beast` number, since 2 + 7 + 2 + 574 + 1 + 3 + 71 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12871810116 + 14385603600 = 113454^2 + 119940^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 342616 + ... + 414608.

It is an arithmetic number, because the mean of its divisors is an integer number (1031854005).

Almost surely, 2^27257413716 is an apocalyptic number.

27257413716 is a gapful number since it is divisible by the number (26) 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 27257413716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37146744180).

27257413716 is an abundant number, since it is smaller than the sum of its proper divisors (47036074644).

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

27257413716 is a wasteful number, since it uses less digits than its factorization.

27257413716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72825 (or 72820 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

Adding to 27257413716 its reverse (61731475272), we get a palindrome (88988888988).

The spelling of 27257413716 in words is "twenty-seven billion, two hundred fifty-seven million, four hundred thirteen thousand, seven hundred sixteen".