566640098519040 has 5376 divisors, whose sum is σ = 2683163539929600. Its totient is φ = 111396217946112.

The previous prime is 566640098518987. The next prime is 566640098519149. The reversal of 566640098519040 is 40915890046665.

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

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

It is an unprimeable number.

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 447 ways as a sum of consecutive naturals, for example, 1605212743504 + ... + 1605212743856.

It is an arithmetic number, because the mean of its divisors is an integer number (499100360850).

Almost surely, 2^{566640098519040} 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 566640098519040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341581769964800).

566640098519040 is an abundant number, since it is smaller than the sum of its proper divisors (2116523441410560).

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

566640098519040 is a wasteful number, since it uses less digits than its factorization.

566640098519040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 566640098519040 in words is "five hundred sixty-six trillion, six hundred forty billion, ninety-eight million, five hundred nineteen thousand, forty".