1263868719120 has 960 divisors, whose sum is σ = 5175748730880. Its totient is φ = 280607846400.

The previous prime is 1263868719103. The next prime is 1263868719131. The reversal of 1263868719120 is 219178683621.

1263868719120 is a `hidden beast` number, since 126 + 386 + 8 + 7 + 19 + 120 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2002961205 + ... + 2002961835.

It is an arithmetic number, because the mean of its divisors is an integer number (5391404928).

Almost surely, 2^{1263868719120} is an apocalyptic number.

1263868719120 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 1263868719120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2587874365440).

1263868719120 is an abundant number, since it is smaller than the sum of its proper divisors (3911880011760).

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

1263868719120 is a wasteful number, since it uses less digits than its factorization.

1263868719120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 1263868719120 in words is "one trillion, two hundred sixty-three billion, eight hundred sixty-eight million, seven hundred nineteen thousand, one hundred twenty".