1071065416761 has 24 divisors (see below), whose sum is σ = 1564579117920. Its totient is φ = 705988244736.

The previous prime is 1071065416753. The next prime is 1071065416789. The reversal of 1071065416761 is 1676145601701.

1071065416761 is a `hidden beast` number, since 107 + 1 + 0 + 65 + 416 + 76 + 1 = 666.

It is not a de Polignac number, because 1071065416761 - 2³ = 1071065416753 is a prime.

It is a super-2 number, since 2×1071065416761² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1071065416711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287586 + ... + 1491588.

It is an arithmetic number, because the mean of its divisors is an integer number (65190796580).

Almost surely, 2^{1071065416761} is an apocalyptic number.

It is an amenable number.

1071065416761 is a deficient number, since it is larger than the sum of its proper divisors (493513701159).

1071065416761 is a wasteful number, since it uses less digits than its factorization.

1071065416761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205125 (or 1205122 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 1071065416761 in words is "one trillion, seventy-one billion, sixty-five million, four hundred sixteen thousand, seven hundred sixty-one".