27480259968 has 512 divisors, whose sum is σ = 91392000000. Its totient is φ = 7291275264.

The previous prime is 27480259931. The next prime is 27480259979. The reversal of 27480259968 is 86995208472.

It is a super-2 number, since 2×27480259968² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 197699643 + ... + 197699781.

It is an arithmetic number, because the mean of its divisors is an integer number (178500000).

Almost surely, 2^27480259968 is an apocalyptic number.

27480259968 is a gapful number since it is divisible by the number (28) 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 27480259968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45696000000).

27480259968 is an abundant number, since it is smaller than the sum of its proper divisors (63911740032).

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

27480259968 is a wasteful number, since it uses less digits than its factorization.

27480259968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 27480259968 in words is "twenty-seven billion, four hundred eighty million, two hundred fifty-nine thousand, nine hundred sixty-eight".