27268247160 has 768 divisors, whose sum is σ = 116520768000. Its totient is φ = 5608673280.

The previous prime is 27268247131. The next prime is 27268247173. The reversal of 27268247160 is 6174286272.

It is a happy number.

27268247160 is a `hidden beast` number, since 27 + 26 + 82 + 471 + 60 = 666.

It is a Cunningham number, because it is equal to 165131²-1.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 80914512 + ... + 80914848.

It is an arithmetic number, because the mean of its divisors is an integer number (151719750).

Almost surely, 2^27268247160 is an apocalyptic number.

27268247160 is a gapful number since it is divisible by the number (20) 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 27268247160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58260384000).

27268247160 is an abundant number, since it is smaller than the sum of its proper divisors (89252520840).

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

27268247160 is a wasteful number, since it uses less digits than its factorization.

27268247160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 27268247160 in words is "twenty-seven billion, two hundred sixty-eight million, two hundred forty-seven thousand, one hundred sixty".