565553740004000 has 768 divisors, whose sum is σ = 1612172967874560. Its totient is φ = 192820953600000.

The previous prime is 565553740003939. The next prime is 565553740004009. The reversal of 565553740004000 is 400047355565.

It is a happy number.

It is a super-3 number, since 3×565553740004000³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (565553740004009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 114230201525 + ... + 114230206475.

It is an arithmetic number, because the mean of its divisors is an integer number (2099183551920).

Almost surely, 2^{565553740004000} is an apocalyptic number.

565553740004000 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 565553740004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806086483937280).

565553740004000 is an abundant number, since it is smaller than the sum of its proper divisors (1046619227870560).

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

565553740004000 is a wasteful number, since it uses less digits than its factorization.

565553740004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6390 (or 6372 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 44.

Adding to 565553740004000 its reverse (400047355565), we get a palindrome (565953787359565).

The spelling of 565553740004000 in words is "five hundred sixty-five trillion, five hundred fifty-three billion, seven hundred forty million, four thousand".