27292056064 has 360 divisors, whose sum is σ = 70812178668. Its totient is φ = 10466426880.

The previous prime is 27292056061. The next prime is 27292056067. The reversal of 27292056064 is 46065029272.

It is an interprime number because it is at equal distance from previous prime (27292056061) and next prime (27292056067).

It can be written as a sum of positive squares in 6 ways, for example, as 1016064 + 27291040000 = 1008^2 + 165200^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 27292056064.

It is not an unprimeable number, because it can be changed into a prime (27292056061) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 173834674 + ... + 173834830.

Almost surely, 2^27292056064 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 27292056064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35406089334).

27292056064 is an abundant number, since it is smaller than the sum of its proper divisors (43520122604).

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

27292056064 is a wasteful number, since it uses less digits than its factorization.

27292056064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 27292056064 in words is "twenty-seven billion, two hundred ninety-two million, fifty-six thousand, sixty-four".