27140107264 has 88 divisors (see below), whose sum is σ = 55030696448. Its totient is φ = 13377208320.

The previous prime is 27140107259. The next prime is 27140107307. The reversal of 27140107264 is 46270104172.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23538112 + ... + 23539264.

Almost surely, 2^27140107264 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 27140107264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27515348224).

27140107264 is an abundant number, since it is smaller than the sum of its proper divisors (27890589184).

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

27140107264 is a wasteful number, since it uses less digits than its factorization.

27140107264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The spelling of 27140107264 in words is "twenty-seven billion, one hundred forty million, one hundred seven thousand, two hundred sixty-four".