27075103264 has 72 divisors (see below), whose sum is σ = 58951292400. Its totient is φ = 12231077760.

The previous prime is 27075103247. The next prime is 27075103277. The reversal of 27075103264 is 46230157072.

It is a happy number.

It is a super-2 number, since 2×27075103264² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 609687 + ... + 652585.

It is an arithmetic number, because the mean of its divisors is an integer number (818767950).

Almost surely, 2^27075103264 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 27075103264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29475646200).

27075103264 is an abundant number, since it is smaller than the sum of its proper divisors (31876189136).

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

27075103264 is a wasteful number, since it uses less digits than its factorization.

27075103264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43094 (or 43075 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The spelling of 27075103264 in words is "twenty-seven billion, seventy-five million, one hundred three thousand, two hundred sixty-four".