560803829400 has 384 divisors, whose sum is σ = 1970934120000. Its totient is φ = 146526105600.

The previous prime is 560803829387. The next prime is 560803829431. The reversal of 560803829400 is 4928308065.

560803829400 is a `hidden beast` number, since 5 + 608 + 0 + 38 + 2 + 9 + 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88605436 + ... + 88611764.

Almost surely, 2^560803829400 is an apocalyptic number.

560803829400 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 560803829400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985467060000).

560803829400 is an abundant number, since it is smaller than the sum of its proper divisors (1410130290600).

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

560803829400 is a wasteful number, since it uses less digits than its factorization.

560803829400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6684 (or 6669 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 560803829400 in words is "five hundred sixty billion, eight hundred three million, eight hundred twenty-nine thousand, four hundred".