10160755266816 has 1296 divisors, whose sum is σ = 38290158466560. Its totient is φ = 2560968990720.

The previous prime is 10160755266793. The next prime is 10160755266821. The reversal of 10160755266816 is 61866255706101.

10160755266816 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 0 + 7 + 552 + 6 + 6 + 81 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9558565101 + ... + 9558566163.

It is an arithmetic number, because the mean of its divisors is an integer number (29544875360).

Almost surely, 2^{10160755266816} is an apocalyptic number.

10160755266816 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 10160755266816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19145079233280).

10160755266816 is an abundant number, since it is smaller than the sum of its proper divisors (28129403199744).

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

10160755266816 is a wasteful number, since it uses less digits than its factorization.

10160755266816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 10160755266816 in words is "ten trillion, one hundred sixty billion, seven hundred fifty-five million, two hundred sixty-six thousand, eight hundred sixteen".