27173321540 has 96 divisors (see below), whose sum is σ = 59709890016. Its totient is φ = 10377768960.

The previous prime is 27173321479. The next prime is 27173321627. The reversal of 27173321540 is 4512337172.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 8257720384 + 18915601156 = 90872^2 + 137534^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 27173321540.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31855754 + ... + 31856606.

It is an arithmetic number, because the mean of its divisors is an integer number (621978021).

Almost surely, 2^27173321540 is an apocalyptic number.

27173321540 is a gapful number since it is divisible by the number (20) 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 27173321540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29854945008).

27173321540 is an abundant number, since it is smaller than the sum of its proper divisors (32536568476).

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

27173321540 is a wasteful number, since it uses less digits than its factorization.

27173321540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The spelling of 27173321540 in words is "twenty-seven billion, one hundred seventy-three million, three hundred twenty-one thousand, five hundred forty".