27980497506 has 96 divisors (see below), whose sum is σ = 64671602688. Its totient is φ = 8038517760.

The previous prime is 27980497499. The next prime is 27980497507. The reversal of 27980497506 is 60579408972.

It is not an unprimeable number, because it can be changed into a prime (27980497507) 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 47 ways as a sum of consecutive naturals, for example, 2182836 + ... + 2195616.

It is an arithmetic number, because the mean of its divisors is an integer number (673662528).

Almost surely, 2^27980497506 is an apocalyptic number.

27980497506 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 27980497506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32335801344).

27980497506 is an abundant number, since it is smaller than the sum of its proper divisors (36691105182).

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

27980497506 is a wasteful number, since it uses less digits than its factorization.

27980497506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12956 (or 12943 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The spelling of 27980497506 in words is "twenty-seven billion, nine hundred eighty million, four hundred ninety-seven thousand, five hundred six".