560415744000 has 2016 divisors, whose sum is σ = 2522553944976. Its totient is φ = 118908518400.

The previous prime is 560415743977. The next prime is 560415744059. The reversal of 560415744000 is 447514065.

560415744000 is a `hidden beast` number, since 5 + 6 + 0 + 41 + 574 + 40 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 70102093824 + 490313650176 = 264768^2 + 700224^2 .

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×560415744000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7676927964 + ... + 7676928036.

Almost surely, 2^560415744000 is an apocalyptic number.

560415744000 is a gapful number since it is divisible by the number (50) 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 560415744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261276972488).

560415744000 is an abundant number, since it is smaller than the sum of its proper divisors (1962138200976).

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

560415744000 is a wasteful number, since it uses less digits than its factorization.

560415744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 560415744000 in words is "five hundred sixty billion, four hundred fifteen million, seven hundred forty-four thousand".