1678561560000 has 420 divisors, whose sum is σ = 6474686930712. Its totient is φ = 413183232000.

The previous prime is 1678561559989. The next prime is 1678561560001. The reversal of 1678561560000 is 651658761.

1678561560000 is a `hidden beast` number, since 1 + 6 + 7 + 85 + 6 + 1 + 560 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1678561560001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4500667 + ... + 4859333.

Almost surely, 2^{1678561560000} is an apocalyptic number.

1678561560000 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 1678561560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3237343465356).

1678561560000 is an abundant number, since it is smaller than the sum of its proper divisors (4796125370712).

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

1678561560000 is a wasteful number, since it uses less digits than its factorization.

1678561560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358718 (or 358690 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 1678561560000 in words is "one trillion, six hundred seventy-eight billion, five hundred sixty-one million, five hundred sixty thousand".