4266259666560 has 512 divisors, whose sum is σ = 15782667264000. Its totient is φ = 1087097425920.

The previous prime is 4266259666511. The next prime is 4266259666597. The reversal of 4266259666560 is 656669526624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 433602121 + ... + 433611959.

It is an arithmetic number, because the mean of its divisors is an integer number (30825522000).

Almost surely, 2^{4266259666560} is an apocalyptic number.

4266259666560 is a gapful number since it is divisible by the number (40) 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 4266259666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7891333632000).

4266259666560 is an abundant number, since it is smaller than the sum of its proper divisors (11516407597440).

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

4266259666560 is a wasteful number, since it uses less digits than its factorization.

4266259666560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10981 (or 10963 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 63.

The spelling of 4266259666560 in words is "four trillion, two hundred sixty-six billion, two hundred fifty-nine million, six hundred sixty-six thousand, five hundred sixty".