560776122400 has 288 divisors, whose sum is σ = 1516184989200. Its totient is φ = 201213542400.

The previous prime is 560776122337. The next prime is 560776122433. The reversal of 560776122400 is 4221677065.

It can be written as a sum of positive squares in 24 ways, for example, as 277151708304 + 283624414096 = 526452^2 + 532564^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 114699156 + ... + 114704044.

Almost surely, 2^560776122400 is an apocalyptic number.

560776122400 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 560776122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758092494600).

560776122400 is an abundant number, since it is smaller than the sum of its proper divisors (955408866800).

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

560776122400 is a wasteful number, since it uses less digits than its factorization.

560776122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5232 (or 5219 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

Adding to 560776122400 its reverse (4221677065), we get a palindrome (564997799465).

The spelling of 560776122400 in words is "five hundred sixty billion, seven hundred seventy-six million, one hundred twenty-two thousand, four hundred".