1284105720960 has 192 divisors, whose sum is σ = 4626968374080. Its totient is φ = 327539976192.

The previous prime is 1284105720941. The next prime is 1284105721007. The reversal of 1284105720960 is 690275014821.

1284105720960 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 10 + 572 + 0 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 4713934 + ... + 4978893.

It is an arithmetic number, because the mean of its divisors is an integer number (24098793615).

Almost surely, 2^{1284105720960} is an apocalyptic number.

1284105720960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1284105720960 is an abundant number, since it is smaller than the sum of its proper divisors (3342862653120).

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

1284105720960 is a wasteful number, since it uses less digits than its factorization.

1284105720960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9692875 (or 9692860 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 1284105720960 in words is "one trillion, two hundred eighty-four billion, one hundred five million, seven hundred twenty thousand, nine hundred sixty".