1536281984160 has 2304 divisors, whose sum is σ = 7277870186496. Its totient is φ = 285327360000.

The previous prime is 1536281984101. The next prime is 1536281984161. The reversal of 1536281984160 is 614891826351.

It is a happy number.

1536281984160 is a `hidden beast` number, since 1 + 5 + 3 + 62 + 81 + 98 + 416 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1536281984097 and 1536281984106.

It is not an unprimeable number, because it can be changed into a prime (1536281984161) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 3564459145 + ... + 3564459575.

It is an arithmetic number, because the mean of its divisors is an integer number (3158797824).

Almost surely, 2^{1536281984160} is an apocalyptic number.

1536281984160 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 1536281984160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3638935093248).

1536281984160 is an abundant number, since it is smaller than the sum of its proper divisors (5741588202336).

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

1536281984160 is a wasteful number, since it uses less digits than its factorization.

1536281984160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 1536281984160 in words is "one trillion, five hundred thirty-six billion, two hundred eighty-one million, nine hundred eighty-four thousand, one hundred sixty".