42267617660511 has 24 divisors (see below), whose sum is σ = 63180804114480. Its totient is φ = 27197138416896.

The previous prime is 42267617660507. The next prime is 42267617660533. The reversal of 42267617660511 is 11506671676224.

42267617660511 is a `hidden beast` number, since 4 + 2 + 2 + 6 + 7 + 6 + 17 + 6 + 605 + 11 = 666.

42267617660511 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42267617660511 - 2² = 42267617660507 is a prime.

It is a super-2 number, since 2×42267617660511² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42267617660111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27842461 + ... + 29321286.

It is an arithmetic number, because the mean of its divisors is an integer number (2632533504770).

Almost surely, 2^{42267617660511} is an apocalyptic number.

42267617660511 is a deficient number, since it is larger than the sum of its proper divisors (20913186453969).

42267617660511 is a wasteful number, since it uses less digits than its factorization.

42267617660511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57166615 (or 57166612 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 42267617660511 in words is "forty-two trillion, two hundred sixty-seven billion, six hundred seventeen million, six hundred sixty thousand, five hundred eleven".