1020266611758 has 96 divisors (see below), whose sum is σ = 2341443218400. Its totient is φ = 320525630208.

The previous prime is 1020266611739. The next prime is 1020266611789. The reversal of 1020266611758 is 8571166620201.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 38346916 + ... + 38373512.

It is an arithmetic number, because the mean of its divisors is an integer number (24390033525).

Almost surely, 2^{1020266611758} is an apocalyptic number.

1020266611758 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020266611758, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170721609200).

1020266611758 is an abundant number, since it is smaller than the sum of its proper divisors (1321176606642).

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

1020266611758 is a wasteful number, since it uses less digits than its factorization.

1020266611758 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28386 (or 28383 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 1020266611758 in words is "one trillion, twenty billion, two hundred sixty-six million, six hundred eleven thousand, seven hundred fifty-eight".