560930198400 has 864 divisors, whose sum is σ = 2364590587320. Its totient is φ = 125510860800.

The previous prime is 560930198377. The next prime is 560930198407. The reversal of 560930198400 is 4891039065.

It is a happy number.

560930198400 is a `hidden beast` number, since 5 + 609 + 30 + 1 + 9 + 8 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (560930198407) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 53533962 + ... + 53544438.

Almost surely, 2^560930198400 is an apocalyptic number.

560930198400 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 560930198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182295293660).

560930198400 is an abundant number, since it is smaller than the sum of its proper divisors (1803660388920).

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

560930198400 is a wasteful number, since it uses less digits than its factorization.

560930198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10544 (or 10511 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 560930198400 in words is "five hundred sixty billion, nine hundred thirty million, one hundred ninety-eight thousand, four hundred".