1284587156160 has 1792 divisors, whose sum is σ = 5880250368000. Its totient is φ = 256197427200.

The previous prime is 1284587156159. The next prime is 1284587156227. The reversal of 1284587156160 is 616517854821.

1284587156160 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 5 + 8 + 7 + 15 + 616 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1284587156097 and 1284587156106.

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 255 ways as a sum of consecutive naturals, for example, 4104112164 + ... + 4104112476.

Almost surely, 2^{1284587156160} is an apocalyptic number.

1284587156160 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 1284587156160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2940125184000).

1284587156160 is an abundant number, since it is smaller than the sum of its proper divisors (4595663211840).

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

1284587156160 is a wasteful number, since it uses less digits than its factorization.

1284587156160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 1284587156160 in words is "one trillion, two hundred eighty-four billion, five hundred eighty-seven million, one hundred fifty-six thousand, one hundred sixty".