562260880097280 has 3840 divisors, whose sum is σ = 2545042231337760. Its totient is φ = 117705164193792.

The previous prime is 562260880097227. The next prime is 562260880097419. The reversal of 562260880097280 is 82790088062265.

562260880097280 is a `hidden beast` number, since 5 + 6 + 2 + 260 + 8 + 8 + 0 + 0 + 97 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-3 number, since 3×562260880097280³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1918979112814 + ... + 1918979113106.

Almost surely, 2^{562260880097280} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 562260880097280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272521115668880).

562260880097280 is an abundant number, since it is smaller than the sum of its proper divisors (1982781351240480).

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

562260880097280 is a wasteful number, since it uses less digits than its factorization.

562260880097280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 562260880097280 in words is "five hundred sixty-two trillion, two hundred sixty billion, eight hundred eighty million, ninety-seven thousand, two hundred eighty".