27309015040 has 128 divisors (see below), whose sum is σ = 68399665920. Its totient is φ = 10447224832.

The previous prime is 27309015023. The next prime is 27309015049. The reversal of 27309015040 is 4051090372.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 27309014993 and 27309015011.

It is not an unprimeable number, because it can be changed into a prime (27309015049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3764697 + ... + 3771943.

It is an arithmetic number, because the mean of its divisors is an integer number (534372390).

Almost surely, 2^27309015040 is an apocalyptic number.

27309015040 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 27309015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34199832960).

27309015040 is an abundant number, since it is smaller than the sum of its proper divisors (41090650880).

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

27309015040 is an frugal number, since it uses more digits than its factorization.

27309015040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7305 (or 7277 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The spelling of 27309015040 in words is "twenty-seven billion, three hundred nine million, fifteen thousand, forty".