560050100400 has 480 divisors, whose sum is σ = 2111813152768. Its totient is φ = 124192051200.

The previous prime is 560050100353. The next prime is 560050100413. The reversal of 560050100400 is 4001050065.

It is a happy number.

It is a super-2 number, since 2×560050100400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115925985 + ... + 115930815.

Almost surely, 2^560050100400 is an apocalyptic number.

560050100400 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 560050100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055906576384).

560050100400 is an abundant number, since it is smaller than the sum of its proper divisors (1551763052368).

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

560050100400 is a wasteful number, since it uses less digits than its factorization.

560050100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5269 (or 5258 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

Adding to 560050100400 its reverse (4001050065), we get a palindrome (564051150465).

The spelling of 560050100400 in words is "five hundred sixty billion, fifty million, one hundred thousand, four hundred".