1327760553600 has 2304 divisors, whose sum is σ = 5775097036800. Its totient is φ = 298299801600.

The previous prime is 1327760553577. The next prime is 1327760553607. The reversal of 1327760553600 is 63550677231.

1327760553600 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 7 + 605 + 5 + 36 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1327760553607) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5954083089 + ... + 5954083311.

Almost surely, 2^{1327760553600} is an apocalyptic number.

1327760553600 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 1327760553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887548518400).

1327760553600 is an abundant number, since it is smaller than the sum of its proper divisors (4447336483200).

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

1327760553600 is a wasteful number, since it uses less digits than its factorization.

1327760553600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 1327760553600 in words is "one trillion, three hundred twenty-seven billion, seven hundred sixty million, five hundred fifty-three thousand, six hundred".