560300198400 has 1200 divisors, whose sum is σ = 2227951401984. Its totient is φ = 138567352320.

The previous prime is 560300198371. The next prime is 560300198429. The reversal of 560300198400 is 4891003065.

560300198400 is a `hidden beast` number, since 5 + 60 + 3 + 0 + 0 + 198 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (560300198371) and next prime (560300198429).

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1462924609 + ... + 1462924991.

Almost surely, 2^560300198400 is an apocalyptic number.

560300198400 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 560300198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113975700992).

560300198400 is an abundant number, since it is smaller than the sum of its proper divisors (1667651203584).

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

560300198400 is a wasteful number, since it uses less digits than its factorization.

560300198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 560300198400 in words is "five hundred sixty billion, three hundred million, one hundred ninety-eight thousand, four hundred".