1263668428800 has 1134 divisors, whose sum is σ = 4911851771757. Its totient is φ = 322327019520.

The previous prime is 1263668428747. The next prime is 1263668428849. The reversal of 1263668428800 is 88248663621.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1263668428800 is a `hidden beast` number, since 126 + 36 + 68 + 428 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1238395060224 + 25273368576 = 1112832^2 + 158976^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=794880.

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

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 54942105589 + ... + 54942105611.

Almost surely, 2^{1263668428800} is an apocalyptic number.

1263668428800 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 1263668428800

1263668428800 is an abundant number, since it is smaller than the sum of its proper divisors (3648183342957).

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

1263668428800 is an frugal number, since it uses more digits than its factorization.

1263668428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 1263668428800 in words is "one trillion, two hundred sixty-three billion, six hundred sixty-eight million, four hundred twenty-eight thousand, eight hundred".