1327568486400 has 1728 divisors, whose sum is σ = 5597991835800. Its totient is φ = 309586821120.

The previous prime is 1327568486399. The next prime is 1327568486429. The reversal of 1327568486400 is 46848657231.

It is a happy number.

1327568486400 is a `hidden beast` number, since 1 + 32 + 7 + 56 + 84 + 86 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 69872025591 + ... + 69872025609.

Almost surely, 2^{1327568486400} is an apocalyptic number.

1327568486400 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 1327568486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2798995917900).

1327568486400 is an abundant number, since it is smaller than the sum of its proper divisors (4270423349400).

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

1327568486400 is an frugal number, since it uses more digits than its factorization.

1327568486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 1327568486400 in words is "one trillion, three hundred twenty-seven billion, five hundred sixty-eight million, four hundred eighty-six thousand, four hundred".