27960045390 has 96 divisors (see below), whose sum is σ = 73472533056. Its totient is φ = 7376624640.

The previous prime is 27960045383. The next prime is 27960045397. The reversal of 27960045390 is 9354006972.

It is a happy number.

27960045390 is a `hidden beast` number, since 2 + 7 + 9 + 600 + 4 + 5 + 39 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (27960045383) and next prime (27960045397).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27960045397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6415092 + ... + 6419448.

It is an arithmetic number, because the mean of its divisors is an integer number (765338886).

Almost surely, 2^27960045390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27960045390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36736266528).

27960045390 is an abundant number, since it is smaller than the sum of its proper divisors (45512487666).

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

27960045390 is a wasteful number, since it uses less digits than its factorization.

27960045390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5114 (or 5111 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 27960045390 in words is "twenty-seven billion, nine hundred sixty million, forty-five thousand, three hundred ninety".