1260168436800 has 3024 divisors, whose sum is σ = 5959728552960. Its totient is φ = 249986580480.

The previous prime is 1260168436799. The next prime is 1260168436823. The reversal of 1260168436800 is 86348610621.

1260168436800 is a `hidden beast` number, since 1 + 2 + 601 + 6 + 8 + 4 + 36 + 8 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 15951499161 + ... + 15951499239.

Almost surely, 2^{1260168436800} is an apocalyptic number.

1260168436800 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 1260168436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2979864276480).

1260168436800 is an abundant number, since it is smaller than the sum of its proper divisors (4699560116160).

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

1260168436800 is a wasteful number, since it uses less digits than its factorization.

1260168436800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1260168436800 in words is "one trillion, two hundred sixty billion, one hundred sixty-eight million, four hundred thirty-six thousand, eight hundred".