27130365744 has 80 divisors (see below), whose sum is σ = 71181932160. Its totient is φ = 8902333440.

The previous prime is 27130365701. The next prime is 27130365749. The reversal of 27130365744 is 44756303172.

It is a super-3 number, since 3×27130365744³ (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27130365696 and 27130365705.

It is not an unprimeable number, because it can be changed into a prime (27130365749) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8781352 + ... + 8784440.

It is an arithmetic number, because the mean of its divisors is an integer number (889774152).

Almost surely, 2^27130365744 is an apocalyptic number.

27130365744 is a gapful number since it is divisible by the number (24) 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 27130365744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35590966080).

27130365744 is an abundant number, since it is smaller than the sum of its proper divisors (44051566416).

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

27130365744 is a wasteful number, since it uses less digits than its factorization.

27130365744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5898 (or 5892 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 27130365744 in words is "twenty-seven billion, one hundred thirty million, three hundred sixty-five thousand, seven hundred forty-four".