1560985344000 has 1152 divisors, whose sum is σ = 6094158819840. Its totient is φ = 397799424000.

The previous prime is 1560985343963. The next prime is 1560985344091. The reversal of 1560985344000 is 4435890651.

1560985344000 is a `hidden beast` number, since 1 + 5 + 609 + 8 + 5 + 34 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

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, 1430783455 + ... + 1430784545.

It is an arithmetic number, because the mean of its divisors is an integer number (5290068420).

Almost surely, 2^{1560985344000} is an apocalyptic number.

1560985344000 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 1560985344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3047079409920).

1560985344000 is an abundant number, since it is smaller than the sum of its proper divisors (4533173475840).

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

1560985344000 is an equidigital number, since it uses as much as digits as its factorization.

1560985344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 1560985344000 in words is "one trillion, five hundred sixty billion, nine hundred eighty-five million, three hundred forty-four thousand".