27966375360 has 896 divisors, whose sum is σ = 124346695680. Its totient is φ = 5748019200.

The previous prime is 27966375331. The next prime is 27966375379. The reversal of 27966375360 is 6357366972.

27966375360 is a `hidden beast` number, since 2 + 79 + 6 + 6 + 37 + 536 + 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 = 27966375297 and 27966375306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 84490395 + ... + 84490725.

Almost surely, 2^27966375360 is an apocalyptic number.

27966375360 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 27966375360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62173347840).

27966375360 is an abundant number, since it is smaller than the sum of its proper divisors (96380320320).

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

27966375360 is a wasteful number, since it uses less digits than its factorization.

27966375360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 54.

The spelling of 27966375360 in words is "twenty-seven billion, nine hundred sixty-six million, three hundred seventy-five thousand, three hundred sixty".