27264222246272 has 64 divisors (see below), whose sum is σ = 59257060392960. Its totient is φ = 12392023042560.

The previous prime is 27264222246263. The next prime is 27264222246307.

27264222246272 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×27264222246272² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27264222246272.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21319553 + ... + 22562175.

It is an arithmetic number, because the mean of its divisors is an integer number (925891568640).

Almost surely, 2^{27264222246272} is an apocalyptic number.

27264222246272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27264222246272 is an abundant number, since it is smaller than the sum of its proper divisors (31992838146688).

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

27264222246272 is a wasteful number, since it uses less digits than its factorization.

27264222246272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258231 (or 1258219 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 50.

The spelling of 27264222246272 in words is "twenty-seven trillion, two hundred sixty-four billion, two hundred twenty-two million, two hundred forty-six thousand, two hundred seventy-two".