560113514400 has 288 divisors, whose sum is σ = 2018603801088. Its totient is φ = 133758028800.

The previous prime is 560113514351. The next prime is 560113514491. The reversal of 560113514400 is 4415311065.

It is a happy number.

560113514400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1610469 + ... + 1927131.

It is an arithmetic number, because the mean of its divisors is an integer number (7009040976).

Almost surely, 2^560113514400 is an apocalyptic number.

560113514400 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 560113514400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009301900544).

560113514400 is an abundant number, since it is smaller than the sum of its proper divisors (1458490286688).

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

560113514400 is a wasteful number, since it uses less digits than its factorization.

560113514400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316764 (or 316751 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 560113514400 its reverse (4415311065), we get a palindrome (564528825465).

The spelling of 560113514400 in words is "five hundred sixty billion, one hundred thirteen million, five hundred fourteen thousand, four hundred".