1560414594960 has 240 divisors, whose sum is σ = 5781147201648. Its totient is φ = 374733619200.

The previous prime is 1560414594913. The next prime is 1560414594989. The reversal of 1560414594960 is 694954140651.

1560414594960 is a `hidden beast` number, since 1 + 5 + 6 + 0 + 4 + 145 + 9 + 496 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 473057835264 + 1087356759696 = 687792^2 + 1042764^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 1560414594897 and 1560414594906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1649301 + ... + 2416820.

Almost surely, 2^{1560414594960} is an apocalyptic number.

1560414594960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1560414594960 is an abundant number, since it is smaller than the sum of its proper divisors (4220732606688).

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

1560414594960 is a wasteful number, since it uses less digits than its factorization.

1560414594960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4066194 (or 4066185 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 1560414594960 in words is "one trillion, five hundred sixty billion, four hundred fourteen million, five hundred ninety-four thousand, nine hundred sixty".