27264288246272 has 160 divisors (see below), whose sum is σ = 68106509475840. Its totient is φ = 10592855470080.

The previous prime is 27264288246271. The next prime is 27264288246277.

27264288246272 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (62) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (27264288246271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13190033 + ... + 15116399.

It is an arithmetic number, because the mean of its divisors is an integer number (425665684224).

Almost surely, 2^{27264288246272} is an apocalyptic number.

27264288246272 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 27264288246272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34053254737920).

27264288246272 is an abundant number, since it is smaller than the sum of its proper divisors (40842221229568).

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

27264288246272 is a wasteful number, since it uses less digits than its factorization.

27264288246272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926762 (or 1926746 counting only the distinct ones).

The product of its digits is 115605504, while the sum is 62.

The spelling of 27264288246272 in words is "twenty-seven trillion, two hundred sixty-four billion, two hundred eighty-eight million, two hundred forty-six thousand, two hundred seventy-two".