1010069135568 has 300 divisors, whose sum is σ = 3212636749740. Its totient is φ = 305954095104.

The previous prime is 1010069135557. The next prime is 1010069135723. The reversal of 1010069135568 is 8655319600101.

1010069135568 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 0 + 6 + 91 + 3 + 556 + 8 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2551058064 + 1007518077504 = 50508^2 + 1003752^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10815280 + ... + 10908272.

Almost surely, 2^{1010069135568} is an apocalyptic number.

1010069135568 is a gapful number since it is divisible by the number (18) 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 1010069135568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606318374870).

1010069135568 is an abundant number, since it is smaller than the sum of its proper divisors (2202567614172).

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

1010069135568 is a wasteful number, since it uses less digits than its factorization.

1010069135568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93076 (or 93044 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 1010069135568 in words is "one trillion, ten billion, sixty-nine million, one hundred thirty-five thousand, five hundred sixty-eight".