12755277360 has 800 divisors, whose sum is σ = 53651423232. Its totient is φ = 2747105280.

The previous prime is 12755277317. The next prime is 12755277389. The reversal of 12755277360 is 6377255721.

12755277360 is a `hidden beast` number, since 1 + 27 + 552 + 7 + 73 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 66089424 + ... + 66089616.

Almost surely, 2^12755277360 is an apocalyptic number.

12755277360 is a gapful number since it is divisible by the number (10) 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 12755277360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26825711616).

12755277360 is an abundant number, since it is smaller than the sum of its proper divisors (40896145872).

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

12755277360 is a wasteful number, since it uses less digits than its factorization.

12755277360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The spelling of 12755277360 in words is "twelve billion, seven hundred fifty-five million, two hundred seventy-seven thousand, three hundred sixty".