560287648972800 has 4320 divisors, whose sum is σ = 2556638752897152. Its totient is φ = 118881339310080.

The previous prime is 560287648972769. The next prime is 560287648972801. The reversal of 560287648972800 is 8279846782065.

560287648972800 is a `hidden beast` number, since 5 + 6 + 0 + 2 + 8 + 76 + 489 + 72 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (560287648972801) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7675173273564 + ... + 7675173273636.

Almost surely, 2^{560287648972800} is an apocalyptic number.

560287648972800 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 560287648972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278319376448576).

560287648972800 is an abundant number, since it is smaller than the sum of its proper divisors (1996351103924352).

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

560287648972800 is an frugal number, since it uses more digits than its factorization.

560287648972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 560287648972800 in words is "five hundred sixty trillion, two hundred eighty-seven billion, six hundred forty-eight million, nine hundred seventy-two thousand, eight hundred".