1284487160256 has 672 divisors, whose sum is σ = 3997933535232. Its totient is φ = 408631910400.

The previous prime is 1284487160249. The next prime is 1284487160269. The reversal of 1284487160256 is 6520617844821.

1284487160256 is a `hidden beast` number, since 1 + 2 + 84 + 487 + 1 + 60 + 25 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9375818620 + ... + 9375818756.

It is an arithmetic number, because the mean of its divisors is an integer number (5949305856).

Almost surely, 2^{1284487160256} is an apocalyptic number.

1284487160256 is a gapful number since it is divisible by the number (16) 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 1284487160256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998966767616).

1284487160256 is an abundant number, since it is smaller than the sum of its proper divisors (2713446374976).

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

1284487160256 is a wasteful number, since it uses less digits than its factorization.

1284487160256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 1284487160256 in words is "one trillion, two hundred eighty-four billion, four hundred eighty-seven million, one hundred sixty thousand, two hundred fifty-six".