27515980674 has 192 divisors, whose sum is σ = 75473798400. Its totient is φ = 7198813440.

The previous prime is 27515980673. The next prime is 27515980697. The reversal of 27515980674 is 47608951572.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 27515980674.

It is not an unprimeable number, because it can be changed into a prime (27515980673) 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 95 ways as a sum of consecutive naturals, for example, 10513014 + ... + 10515630.

It is an arithmetic number, because the mean of its divisors is an integer number (393092700).

Almost surely, 2^27515980674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27515980674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37736899200).

27515980674 is an abundant number, since it is smaller than the sum of its proper divisors (47957817726).

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

27515980674 is a wasteful number, since it uses less digits than its factorization.

27515980674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2790 (or 2773 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 27515980674 in words is "twenty-seven billion, five hundred fifteen million, nine hundred eighty thousand, six hundred seventy-four".