27960115680 has 384 divisors, whose sum is σ = 115700659200. Its totient is φ = 6170314752.

The previous prime is 27960115661. The next prime is 27960115693. The reversal of 27960115680 is 8651106972.

27960115680 is a `hidden beast` number, since 2 + 79 + 6 + 0 + 11 + 568 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 861019 + ... + 892901.

It is an arithmetic number, because the mean of its divisors is an integer number (301303800).

Almost surely, 2^27960115680 is an apocalyptic number.

27960115680 is a gapful number since it is divisible by the number (20) 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 27960115680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57850329600).

27960115680 is an abundant number, since it is smaller than the sum of its proper divisors (87740543520).

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

27960115680 is a wasteful number, since it uses less digits than its factorization.

27960115680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31943 (or 31929 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 27960115680 in words is "twenty-seven billion, nine hundred sixty million, one hundred fifteen thousand, six hundred eighty".