10557067580865 has 512 divisors, whose sum is σ = 23339938406400. Its totient is φ = 4525530476544.

The previous prime is 10557067580809. The next prime is 10557067580867. The reversal of 10557067580865 is 56808576075501.

10557067580865 is a `hidden beast` number, since 1 + 0 + 5 + 570 + 6 + 7 + 58 + 0 + 8 + 6 + 5 = 666.

It is not a de Polignac number, because 10557067580865 - 2⁷ = 10557067580737 is a prime.

It is a super-2 number, since 2×10557067580865² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10557067580867) by changing a digit.

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 511 ways as a sum of consecutive naturals, for example, 1974388122 + ... + 1974393468.

It is an arithmetic number, because the mean of its divisors is an integer number (45585817200).

Almost surely, 2^{10557067580865} is an apocalyptic number.

10557067580865 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10557067580865 is an abundant number, since it is smaller than the sum of its proper divisors (12782870825535).

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

10557067580865 is a wasteful number, since it uses less digits than its factorization.

10557067580865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5465 (or 5447 counting only the distinct ones).

The product of its (nonzero) digits is 70560000, while the sum is 63.

The spelling of 10557067580865 in words is "ten trillion, five hundred fifty-seven billion, sixty-seven million, five hundred eighty thousand, eight hundred sixty-five".