1260871693200 has 1680 divisors, whose sum is σ = 5488694701056. Its totient is φ = 272004480000.

The previous prime is 1260871693189. The next prime is 1260871693229. The reversal of 1260871693200 is 23961780621.

1260871693200 is a `hidden beast` number, since 1 + 2 + 608 + 7 + 1 + 6 + 9 + 32 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 5023393075 + ... + 5023393325.

Almost surely, 2^{1260871693200} is an apocalyptic number.

1260871693200 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 1260871693200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2744347350528).

1260871693200 is an abundant number, since it is smaller than the sum of its proper divisors (4227823007856).

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

1260871693200 is a wasteful number, since it uses less digits than its factorization.

1260871693200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1260871693200 in words is "one trillion, two hundred sixty billion, eight hundred seventy-one million, six hundred ninety-three thousand, two hundred".