12775582310400 has 4536 divisors, whose sum is σ = 61706715767424. Its totient is φ = 2608555622400.

The previous prime is 12775582310377. The next prime is 12775582310401. The reversal of 12775582310400 is 401328557721.

12775582310400 is a `hidden beast` number, since 1 + 2 + 7 + 7 + 5 + 5 + 8 + 231 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (4536).

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 (12775582310401) by changing a digit.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 412115558385 + ... + 412115558415.

Almost surely, 2^{12775582310400} is an apocalyptic number.

12775582310400 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 12775582310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30853357883712).

12775582310400 is an abundant number, since it is smaller than the sum of its proper divisors (48931133457024).

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

12775582310400 is an equidigital number, since it uses as much as digits as its factorization.

12775582310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 12775582310400 in words is "twelve trillion, seven hundred seventy-five billion, five hundred eighty-two million, three hundred ten thousand, four hundred".