1560795240240 has 720 divisors, whose sum is σ = 5797471661280. Its totient is φ = 389402173440.

The previous prime is 1560795240211. The next prime is 1560795240269. The reversal of 1560795240240 is 420425970651.

1560795240240 is a `hidden beast` number, since 1 + 56 + 0 + 79 + 524 + 0 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1560795240211) and next prime (1560795240269).

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1882744146 + ... + 1882744974.

It is an arithmetic number, because the mean of its divisors is an integer number (8052043974).

Almost surely, 2^{1560795240240} is an apocalyptic number.

1560795240240 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 1560795240240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2898735830640).

1560795240240 is an abundant number, since it is smaller than the sum of its proper divisors (4236676421040).

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

1560795240240 is an equidigital number, since it uses as much as digits as its factorization.

1560795240240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 1560795240240 in words is "one trillion, five hundred sixty billion, seven hundred ninety-five million, two hundred forty thousand, two hundred forty".