27980135424 has 176 divisors, whose sum is σ = 85723447200. Its totient is φ = 9004843008.

The previous prime is 27980135419. The next prime is 27980135459. The reversal of 27980135424 is 42453108972.

27980135424 is a `hidden beast` number, since 2 + 7 + 98 + 0 + 13 + 542 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 27980135424.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 784344 + ... + 819240.

Almost surely, 2^27980135424 is an apocalyptic number.

27980135424 is a gapful number since it is divisible by the number (24) 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 27980135424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42861723600).

27980135424 is an abundant number, since it is smaller than the sum of its proper divisors (57743311776).

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

27980135424 is a wasteful number, since it uses less digits than its factorization.

27980135424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34955 (or 34931 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 27980135424 in words is "twenty-seven billion, nine hundred eighty million, one hundred thirty-five thousand, four hundred twenty-four".