566237865123840 has 5376 divisors, whose sum is σ = 2518804308787200. Its totient is φ = 105424292413440.

The previous prime is 566237865123823. The next prime is 566237865123841. The reversal of 566237865123840 is 48321568732665.

It is a tau number, because it is divible by the number of its divisors (5376).

It is not an unprimeable number, because it can be changed into a prime (566237865123841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7167567912921 + ... + 7167567912999.

It is an arithmetic number, because the mean of its divisors is an integer number (468527587200).

Almost surely, 2^{566237865123840} 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 566237865123840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259402154393600).

566237865123840 is an abundant number, since it is smaller than the sum of its proper divisors (1952566443663360).

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

566237865123840 is a wasteful number, since it uses less digits than its factorization.

566237865123840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 66.

The spelling of 566237865123840 in words is "five hundred sixty-six trillion, two hundred thirty-seven billion, eight hundred sixty-five million, one hundred twenty-three thousand, eight hundred forty".