27966580560 has 320 divisors, whose sum is σ = 101136384000. Its totient is φ = 7093854720.

The previous prime is 27966580559. The next prime is 27966580613. The reversal of 27966580560 is 6508566972.

It is a happy number.

27966580560 is a `hidden beast` number, since 2 + 7 + 9 + 6 + 6 + 580 + 56 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 27966580497 and 27966580506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3947101 + ... + 3954179.

It is an arithmetic number, because the mean of its divisors is an integer number (316051200).

Almost surely, 2^27966580560 is an apocalyptic number.

27966580560 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 27966580560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50568192000).

27966580560 is an abundant number, since it is smaller than the sum of its proper divisors (73169803440).

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

27966580560 is a wasteful number, since it uses less digits than its factorization.

27966580560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7191 (or 7179 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 27966580560 in words is "twenty-seven billion, nine hundred sixty-six million, five hundred eighty thousand, five hundred sixty".