560464597123200 has 1536 divisors, whose sum is σ = 2578409542656000. Its totient is φ = 116460008755200.

The previous prime is 560464597123157. The next prime is 560464597123201. The reversal of 560464597123200 is 2321795464065.

It is a happy number.

560464597123200 is a `hidden beast` number, since 5 + 6 + 0 + 4 + 6 + 4 + 597 + 1 + 23 + 20 + 0 = 666.

It is a super-3 number, since 3×560464597123200³ (a number of 45 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (560464597123201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 804640681 + ... + 805336919.

It is an arithmetic number, because the mean of its divisors is an integer number (1678652046000).

Almost surely, 2^{560464597123200} is an apocalyptic number.

560464597123200 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 560464597123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289204771328000).

560464597123200 is an abundant number, since it is smaller than the sum of its proper divisors (2017944945532800).

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

560464597123200 is a wasteful number, since it uses less digits than its factorization.

560464597123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696312 (or 696267 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 560464597123200 in words is "five hundred sixty trillion, four hundred sixty-four billion, five hundred ninety-seven million, one hundred twenty-three thousand, two hundred".