1766299041056 has 144 divisors (see below), whose sum is σ = 4121579155680. Its totient is φ = 742054579200.

The previous prime is 1766299041041. The next prime is 1766299041107. The reversal of 1766299041056 is 6501409926671.

It is a junction number, because it is equal to n+sod(n) for n = 1766299040992 and 1766299041010.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2723495 + ... + 3309081.

It is an arithmetic number, because the mean of its divisors is an integer number (28622077470).

Almost surely, 2^{1766299041056} is an apocalyptic number.

1766299041056 is a gapful number since it is divisible by the number (16) 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 1766299041056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060789577840).

1766299041056 is an abundant number, since it is smaller than the sum of its proper divisors (2355280114624).

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

1766299041056 is a wasteful number, since it uses less digits than its factorization.

1766299041056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585679 (or 585660 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 56.

The spelling of 1766299041056 in words is "one trillion, seven hundred sixty-six billion, two hundred ninety-nine million, forty-one thousand, fifty-six".